Semigroups In Algebra Geometry And Analysis

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Semigroups in Algebra, Geometry and Analysis

Author : Karl H. Hofmann
Publisher : Walter de Gruyter
ISBN 13 : 3110885581
Total Pages : 385 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Semigroups in Algebra, Geometry and Analysis by : Karl H. Hofmann

Download or read book Semigroups in Algebra, Geometry and Analysis written by Karl H. Hofmann and published by Walter de Gruyter. This book was released on 2011-06-24 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich and Z. Janko, Groups of Prime Power Order, Volume 6 (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

The Analytical and Topological Theory of Semigroups

Author : Karl Heinrich Hofmann
Publisher :
ISBN 13 :
Total Pages : 420 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Analytical and Topological Theory of Semigroups by : Karl Heinrich Hofmann

Download or read book The Analytical and Topological Theory of Semigroups written by Karl Heinrich Hofmann and published by . This book was released on 1990 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Semigroups in Geometrical Function Theory

Author : D. Shoikhet
Publisher : Springer Science & Business Media
ISBN 13 : 9401596328
Total Pages : 231 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Semigroups in Geometrical Function Theory by : D. Shoikhet

Download or read book Semigroups in Geometrical Function Theory written by D. Shoikhet and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Historically, complex analysis and geometrical function theory have been inten sively developed from the beginning of the twentieth century. They provide the foundations for broad areas of mathematics. In the last fifty years the theory of holomorphic mappings on complex spaces has been studied by many mathemati cians with many applications to nonlinear analysis, functional analysis, differential equations, classical and quantum mechanics. The laws of dynamics are usually presented as equations of motion which are written in the abstract form of a dy namical system: dx / dt + f ( x) = 0, where x is a variable describing the state of the system under study, and f is a vector function of x. The study of such systems when f is a monotone or an accretive (generally nonlinear) operator on the under lying space has been recently the subject of much research by analysts working on quite a variety of interesting topics, including boundary value problems, integral equations and evolution problems (see, for example, [19, 13] and [29]). In a parallel development (and even earlier) the generation theory of one parameter semigroups of holomorphic mappings in en has been the topic of interest in the theory of Markov stochastic processes and, in particular, in the theory of branching processes (see, for example, [63, 127, 48] and [69]).

Numerical Semigroups and Applications

Author : Abdallah Assi
Publisher : Springer
ISBN 13 : 3319413309
Total Pages : 113 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Numerical Semigroups and Applications by : Abdallah Assi

Download or read book Numerical Semigroups and Applications written by Abdallah Assi and published by Springer. This book was released on 2016-08-25 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work presents applications of numerical semigroups in Algebraic Geometry, Number Theory, and Coding Theory. Background on numerical semigroups is presented in the first two chapters, which introduce basic notation and fundamental concepts and irreducible numerical semigroups. The focus is in particular on free semigroups, which are irreducible; semigroups associated with planar curves are of this kind. The authors also introduce semigroups associated with irreducible meromorphic series, and show how these are used in order to present the properties of planar curves. Invariants of non-unique factorizations for numerical semigroups are also studied. These invariants are computationally accessible in this setting, and thus this monograph can be used as an introduction to Factorization Theory. Since factorizations and divisibility are strongly connected, the authors show some applications to AG Codes in the final section. The book will be of value for undergraduate students (especially those at a higher level) and also for researchers wishing to focus on the state of art in numerical semigroups research.

A Sequence of Problems on Semigroups

Author : john neuberger
Publisher : Springer Science & Business Media
ISBN 13 : 1461404304
Total Pages : 131 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis A Sequence of Problems on Semigroups by : john neuberger

Download or read book A Sequence of Problems on Semigroups written by john neuberger and published by Springer Science & Business Media. This book was released on 2011-09-15 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text consists of a sequence of problems which develop a variety of aspects in the field of semigroupsof operators. Many of the problems are not found easily in other books. Written in the Socratic/Moore method, this is a problem book without the answers presented. To get the most out of the content requires high motivation from the reader to work out the exercises. The reader is given the opportunity to discover important developments of the subject and to quickly arrive at the point of independent research. The compactness of the volume and the reputation of the author lends this consider set of problems to be a 'classic' in the making. This text is highly recommended for us as supplementary material for 3 graduate level courses.

The Algebraic Theory of Semigroups, Volume II

Author : Alfred Hoblitzelle Clifford
Publisher : American Mathematical Soc.
ISBN 13 : 0821802720
Total Pages : 370 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Algebraic Theory of Semigroups, Volume II by : Alfred Hoblitzelle Clifford

Download or read book The Algebraic Theory of Semigroups, Volume II written by Alfred Hoblitzelle Clifford and published by American Mathematical Soc.. This book was released on 1961 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in the Theory of Varieties of Semigroups

Author : Edmond W. H. Lee
Publisher : Springer Nature
ISBN 13 : 3031164970
Total Pages : 286 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Advances in the Theory of Varieties of Semigroups by : Edmond W. H. Lee

Download or read book Advances in the Theory of Varieties of Semigroups written by Edmond W. H. Lee and published by Springer Nature. This book was released on 2023-05-10 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph thoroughly explores the development of the theory of varieties of semigroups and of two related algebras: involution semigroups and monoids. Through this in-depth analysis, readers will attain a deeper understanding of the differences between these three types of varieties, which may otherwise seem counterintuitive. New results with detailed proofs are also presented that answer previously unsolved fundamental problems. Featuring both a comprehensive overview as well as highlighting the author’s own significant contributions to the area, this book will help establish this subfield as a matter of timely interest. Advances in the Theory of Varieties of Semigroups will appeal to researchers in universal algebra and will be particularly valuable for specialists in semigroups.

Numerical Semigroups

Author : J.C. Rosales
Publisher : Springer Science & Business Media
ISBN 13 : 1441901604
Total Pages : 186 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Numerical Semigroups by : J.C. Rosales

Download or read book Numerical Semigroups written by J.C. Rosales and published by Springer Science & Business Media. This book was released on 2009-12-24 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Numerical Semigroups" is the first monograph devoted exclusively to the development of the theory of numerical semigroups. This concise, self-contained text is accessible to first year graduate students, giving the full background needed for readers unfamiliar with the topic. Researchers will find the tools presented useful in producing examples and counterexamples in other fields such as algebraic geometry, number theory, and linear programming.

Groupoids, Inverse Semigroups, and their Operator Algebras

Author : Alan Paterson
Publisher : Springer Science & Business Media
ISBN 13 : 1461217741
Total Pages : 286 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Groupoids, Inverse Semigroups, and their Operator Algebras by : Alan Paterson

Download or read book Groupoids, Inverse Semigroups, and their Operator Algebras written by Alan Paterson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, it has become increasingly clear that there are important connections relating three concepts -- groupoids, inverse semigroups, and operator algebras. There has been a great deal of progress in this area over the last two decades, and this book gives a careful, up-to-date and reasonably extensive account of the subject matter. After an introductory first chapter, the second chapter presents a self-contained account of inverse semigroups, locally compact and r-discrete groupoids, and Lie groupoids. The section on Lie groupoids in chapter 2 contains a detailed discussion of groupoids particularly important in noncommutative geometry, including the holonomy groupoids of a foliated manifold and the tangent groupoid of a manifold. The representation theories of locally compact and r-discrete groupoids are developed in the third chapter, and it is shown that the C*-algebras of r-discrete groupoids are the covariance C*-algebras for inverse semigroup actions on locally compact Hausdorff spaces. A final chapter associates a universal r-discrete groupoid with any inverse semigroup. Six subsequent appendices treat topics related to those covered in the text. The book should appeal to a wide variety of professional mathematicians and graduate students in fields such as operator algebras, analysis on groupoids, semigroup theory, and noncommutative geometry. It will also be of interest to mathematicians interested in tilings and theoretical physicists whose focus is modeling quasicrystals with tilings. An effort has been made to make the book lucid and 'user friendly"; thus it should be accessible to any reader with a basic background in measure theory and functional analysis.

Discrete Groups in Geometry and Analysis

Author : Howe
Publisher : Springer Science & Business Media
ISBN 13 : 1489966641
Total Pages : 223 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Discrete Groups in Geometry and Analysis by : Howe

Download or read book Discrete Groups in Geometry and Analysis written by Howe and published by Springer Science & Business Media. This book was released on 2013-11-22 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analysis on Semigroups

Author : John F. Berglund
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.:/5 (43 download)

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Book Synopsis Analysis on Semigroups by : John F. Berglund

Download or read book Analysis on Semigroups written by John F. Berglund and published by Wiley-Interscience. This book was released on 1989-05-03 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This treatment of analysis on semigroups stresses the functional analytical and dynamical theory of continuous representations of semitopological semigroups. Topics covered include compact semitopological semigroups, invariant means and idempotent means on compact semitopological semigroups, affine compactifications, left multiplicatively continuous functions and weakly left continuous functions, compactifications of infinite direct products, and weakly almost periodic semigroups of Markov operators. Contains over 200 exercises, from simple applications and examples to further developments of the theory.

Recent Developments in the Algebraic, Analytical, and Topological Theory of Semigroups

Author : K.H. Hofmann
Publisher : Springer
ISBN 13 : 3540400516
Total Pages : 496 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Recent Developments in the Algebraic, Analytical, and Topological Theory of Semigroups by : K.H. Hofmann

Download or read book Recent Developments in the Algebraic, Analytical, and Topological Theory of Semigroups written by K.H. Hofmann and published by Springer. This book was released on 2006-11-15 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analysis and Geometry of Markov Diffusion Operators

Author : Dominique Bakry
Publisher : Springer Science & Business Media
ISBN 13 : 3319002279
Total Pages : 555 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Analysis and Geometry of Markov Diffusion Operators by : Dominique Bakry

Download or read book Analysis and Geometry of Markov Diffusion Operators written by Dominique Bakry and published by Springer Science & Business Media. This book was released on 2013-11-18 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume is an extensive monograph on the analytic and geometric aspects of Markov diffusion operators. It focuses on the geometric curvature properties of the underlying structure in order to study convergence to equilibrium, spectral bounds, functional inequalities such as Poincaré, Sobolev or logarithmic Sobolev inequalities, and various bounds on solutions of evolution equations. At the same time, it covers a large class of evolution and partial differential equations. The book is intended to serve as an introduction to the subject and to be accessible for beginning and advanced scientists and non-specialists. Simultaneously, it covers a wide range of results and techniques from the early developments in the mid-eighties to the latest achievements. As such, students and researchers interested in the modern aspects of Markov diffusion operators and semigroups and their connections to analytic functional inequalities, probabilistic convergence to equilibrium and geometric curvature will find it especially useful. Selected chapters can also be used for advanced courses on the topic.

Nonlinear Semigroups, Fixed Points, And Geometry Of Domains In Banach Spaces

Author : Simeon Reich
Publisher : World Scientific
ISBN 13 : 1783260211
Total Pages : 372 pages
Book Rating : 4.7/5 (832 download)

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Book Synopsis Nonlinear Semigroups, Fixed Points, And Geometry Of Domains In Banach Spaces by : Simeon Reich

Download or read book Nonlinear Semigroups, Fixed Points, And Geometry Of Domains In Banach Spaces written by Simeon Reich and published by World Scientific. This book was released on 2005-07-12 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear semigroup theory is not only of intrinsic interest, but is also important in the study of evolution problems. In the last forty years, the generation theory of flows of holomorphic mappings has been of great interest in the theory of Markov stochastic branching processes, the theory of composition operators, control theory, and optimization. It transpires that the asymptotic behavior of solutions to evolution equations is applicable to the study of the geometry of certain domains in complex spaces.Readers are provided with a systematic overview of many results concerning both nonlinear semigroups in metric and Banach spaces and the fixed point theory of mappings, which are nonexpansive with respect to hyperbolic metrics (in particular, holomorphic self-mappings of domains in Banach spaces). The exposition is organized in a readable and intuitive manner, presenting basic functional and complex analysis as well as very recent developments./a

Numerical Semigroups and Applications

Author : Abdallah Assi
Publisher : Springer Nature
ISBN 13 : 3030549437
Total Pages : 138 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Numerical Semigroups and Applications by : Abdallah Assi

Download or read book Numerical Semigroups and Applications written by Abdallah Assi and published by Springer Nature. This book was released on 2020-10-01 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an extended and revised version of "Numerical Semigroups with Applications," published by Springer as part of the RSME series. Like the first edition, it presents applications of numerical semigroups in Algebraic Geometry, Number Theory and Coding Theory. It starts by discussing the basic notions related to numerical semigroups and those needed to understand semigroups associated with irreducible meromorphic series. It then derives a series of applications in curves and factorization invariants. A new chapter is included, which offers a detailed review of ideals for numerical semigroups. Based on this new chapter, descriptions of the module of Kähler differentials for an algebroid curve and for a polynomial curve are provided. Moreover, the concept of tame degree has been included, and is viewed in relation to other factorization invariants appearing in the first edition. This content highlights new applications of numerical semigroups and their ideals, following in the spirit of the first edition.

Numerical Semigroups

Author : Valentina Barucci
Publisher : Springer Nature
ISBN 13 : 3030408221
Total Pages : 373 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Numerical Semigroups by : Valentina Barucci

Download or read book Numerical Semigroups written by Valentina Barucci and published by Springer Nature. This book was released on 2020-05-13 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the state of the art on numerical semigroups and related subjects, offering different perspectives on research in the field and including results and examples that are very difficult to find in a structured exposition elsewhere. The contents comprise the proceedings of the 2018 INdAM “International Meeting on Numerical Semigroups”, held in Cortona, Italy. Talks at the meeting centered not only on traditional types of numerical semigroups, such as Arf or symmetric, and their usual properties, but also on related types of semigroups, such as affine, Puiseux, Weierstrass, and primary, and their applications in other branches of algebra, including semigroup rings, coding theory, star operations, and Hilbert functions. The papers in the book reflect the variety of the talks and derive from research areas including Semigroup Theory, Factorization Theory, Algebraic Geometry, Combinatorics, Commutative Algebra, Coding Theory, and Number Theory. The book is intended for researchers and students who want to learn about recent developments in the theory of numerical semigroups and its connections with other research fields.

Commutative Semigroups

Author : P.A. Grillet
Publisher : Springer Science & Business Media
ISBN 13 : 1475733895
Total Pages : 443 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Commutative Semigroups by : P.A. Grillet

Download or read book Commutative Semigroups written by P.A. Grillet and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book about commutative semigroups in general. Emphasis is on structure but the other parts of the theory are at least surveyed and a full set of about 850 references is included. The book is intended for mathematicians who do research on semigroups or who encounter commutative semigroups in their research.