A Closure Operation In Rings

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Rings, Modules, and Closure Operations

Author : Jesse Elliott
Publisher : Springer Nature
ISBN 13 : 3030244016
Total Pages : 490 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Rings, Modules, and Closure Operations by : Jesse Elliott

Download or read book Rings, Modules, and Closure Operations written by Jesse Elliott and published by Springer Nature. This book was released on 2019-11-30 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic exposition of the various applications of closure operations in commutative and noncommutative algebra. In addition to further advancing multiplicative ideal theory, the book opens doors to the various uses of closure operations in the study of rings and modules, with emphasis on commutative rings and ideals. Several examples, counterexamples, and exercises further enrich the discussion and lend additional flexibility to the way in which the book is used, i.e., monograph or textbook for advanced topics courses.

Integral Closure of Ideals, Rings, and Modules

Author : Craig Huneke
Publisher : Cambridge University Press
ISBN 13 : 0521688604
Total Pages : 446 pages
Book Rating : 4.5/5 (216 download)

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Book Synopsis Integral Closure of Ideals, Rings, and Modules by : Craig Huneke

Download or read book Integral Closure of Ideals, Rings, and Modules written by Craig Huneke and published by Cambridge University Press. This book was released on 2006-10-12 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ideal for graduate students and researchers, this book presents a unified treatment of the central notions of integral closure.

Rings and Categories of Modules

Author : Frank W. Anderson
Publisher : Springer Science & Business Media
ISBN 13 : 1461244188
Total Pages : 386 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Rings and Categories of Modules by : Frank W. Anderson

Download or read book Rings and Categories of Modules written by Frank W. Anderson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to provide a reasonably self-contained account of a major portion of the general theory of rings and modules suitable as a text for introductory and more advanced graduate courses. We assume the famil iarity with rings usually acquired in standard undergraduate algebra courses. Our general approach is categorical rather than arithmetical. The continuing theme of the text is the study of the relationship between the one-sided ideal structure that a ring may possess and the behavior of its categories of modules. Following a brief outline of set-theoretic and categorical foundations, the text begins with the basic definitions and properties of rings, modules and homomorphisms and ranges through comprehensive treatments of direct sums, finiteness conditions, the Wedderburn-Artin Theorem, the Jacobson radical, the hom and tensor functions, Morita equivalence and duality, de composition theory of injective and projective modules, and semi perfect and perfect rings. In this second edition we have included a chapter containing many of the classical results on artinian rings that have hdped to form the foundation for much of the contemporary research on the representation theory of artinian rings and finite dimensional algebras. Both to illustrate the text and to extend it we have included a substantial number of exercises covering a wide spectrum of difficulty. There are, of course" many important areas of ring and module theory that the text does not touch upon.

Foundations of Applied Mathematics, Volume I

Author : Jeffrey Humpherys
Publisher : SIAM
ISBN 13 : 1611974895
Total Pages : 710 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Foundations of Applied Mathematics, Volume I by : Jeffrey Humpherys

Download or read book Foundations of Applied Mathematics, Volume I written by Jeffrey Humpherys and published by SIAM. This book was released on 2017-07-07 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the essential foundations of both linear and nonlinear analysis necessary for understanding and working in twenty-first century applied and computational mathematics. In addition to the standard topics, this text includes several key concepts of modern applied mathematical analysis that should be, but are not typically, included in advanced undergraduate and beginning graduate mathematics curricula. This material is the introductory foundation upon which algorithm analysis, optimization, probability, statistics, differential equations, machine learning, and control theory are built. When used in concert with the free supplemental lab materials, this text teaches students both the theory and the computational practice of modern mathematical analysis. Foundations of Applied Mathematics, Volume 1: Mathematical Analysis includes several key topics not usually treated in courses at this level, such as uniform contraction mappings, the continuous linear extension theorem, Daniell?Lebesgue integration, resolvents, spectral resolution theory, and pseudospectra. Ideas are developed in a mathematically rigorous way and students are provided with powerful tools and beautiful ideas that yield a number of nice proofs, all of which contribute to a deep understanding of advanced analysis and linear algebra. Carefully thought out exercises and examples are built on each other to reinforce and retain concepts and ideas and to achieve greater depth. Associated lab materials are available that expose students to applications and numerical computation and reinforce the theoretical ideas taught in the text. The text and labs combine to make students technically proficient and to answer the age-old question, "When am I going to use this?

Tight Closure and Its Applications

Author : Craig Huneke
Publisher : American Mathematical Soc.
ISBN 13 : 082180412X
Total Pages : 152 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Tight Closure and Its Applications by : Craig Huneke

Download or read book Tight Closure and Its Applications written by Craig Huneke and published by American Mathematical Soc.. This book was released on 1996 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with the theory of tight closure and its applications. The contents are based on ten talks given at a CBMS conference held at North Dakota State University in June 1995.

Near-rings: The Theory and its Applications

Author :
Publisher : Elsevier
ISBN 13 : 0080871348
Total Pages : 487 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Near-rings: The Theory and its Applications by :

Download or read book Near-rings: The Theory and its Applications written by and published by Elsevier. This book was released on 2011-10-10 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: Near-rings: The Theory and its Applications

The Use of Ultraproducts in Commutative Algebra

Author : Hans Schoutens
Publisher : Springer Science & Business Media
ISBN 13 : 3642133673
Total Pages : 215 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis The Use of Ultraproducts in Commutative Algebra by : Hans Schoutens

Download or read book The Use of Ultraproducts in Commutative Algebra written by Hans Schoutens and published by Springer Science & Business Media. This book was released on 2010-07-31 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring ultraproducts of Noetherian local rings from an algebraic perspective, this volume illustrates the many ways they can be used in commutative algebra. The text includes an introduction to tight closure in characteristic zero, a survey of flatness criteria, and more.

Basic Real Analysis

Author : Houshang H. Sohrab
Publisher : Springer
ISBN 13 : 1493918419
Total Pages : 687 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Basic Real Analysis by : Houshang H. Sohrab

Download or read book Basic Real Analysis written by Houshang H. Sohrab and published by Springer. This book was released on 2014-11-15 with total page 687 pages. Available in PDF, EPUB and Kindle. Book excerpt: This expanded second edition presents the fundamentals and touchstone results of real analysis in full rigor, but in a style that requires little prior familiarity with proofs or mathematical language. The text is a comprehensive and largely self-contained introduction to the theory of real-valued functions of a real variable. The chapters on Lebesgue measure and integral have been rewritten entirely and greatly improved. They now contain Lebesgue’s differentiation theorem as well as his versions of the Fundamental Theorem(s) of Calculus. With expanded chapters, additional problems, and an expansive solutions manual, Basic Real Analysis, Second Edition is ideal for senior undergraduates and first-year graduate students, both as a classroom text and a self-study guide. Reviews of first edition: The book is a clear and well-structured introduction to real analysis aimed at senior undergraduate and beginning graduate students. The prerequisites are few, but a certain mathematical sophistication is required. ... The text contains carefully worked out examples which contribute motivating and helping to understand the theory. There is also an excellent selection of exercises within the text and problem sections at the end of each chapter. In fact, this textbook can serve as a source of examples and exercises in real analysis. —Zentralblatt MATH The quality of the exposition is good: strong and complete versions of theorems are preferred, and the material is organised so that all the proofs are of easily manageable length; motivational comments are helpful, and there are plenty of illustrative examples. The reader is strongly encouraged to learn by doing: exercises are sprinkled liberally throughout the text and each chapter ends with a set of problems, about 650 in all, some of which are of considerable intrinsic interest. —Mathematical Reviews [This text] introduces upper-division undergraduate or first-year graduate students to real analysis.... Problems and exercises abound; an appendix constructs the reals as the Cauchy (sequential) completion of the rationals; references are copious and judiciously chosen; and a detailed index brings up the rear. —CHOICE Reviews

Technical Report

Author :
Publisher :
ISBN 13 :
Total Pages : 570 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Technical Report by :

Download or read book Technical Report written by and published by . This book was released on 1973 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Theory of Models

Author : J.W. Addison
Publisher : Elsevier
ISBN 13 : 1483275345
Total Pages : 513 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis The Theory of Models by : J.W. Addison

Download or read book The Theory of Models written by J.W. Addison and published by Elsevier. This book was released on 2014-05-27 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies in Logic and the Foundations of Mathematics: The Theory of Models covers the proceedings of the International Symposium on the Theory of Models, held at the University of California, Berkeley on June 25 to July 11, 1963. The book focuses on works devoted to the foundations of mathematics, generally known as "the theory of models." The selection first discusses the method of alternating chains, semantic construction of Lewis's systems S4 and S5, and continuous model theory. Concerns include ordered model theory, 2-valued model theory, semantics, sequents, axiomatization, formulas, axiomatic approach to hierarchies, alternating chains, and difference hierarchies. The text also ponders on Boolean notions extended to higher dimensions, elementary theories with models without automorphisms, and applications of the notions of forcing and generic sets. The manuscript takes a look at a hypothesis concerning the extension of finite relations and its verification for certain special cases, theories of functors and models, model-theoretic methods in the study of elementary logic, and extensions of relational structures. The text also reviews relatively categorical and normal theories, algebraic theories, categories, and functors, denumerable models of theories with extra predicates, and non-standard models for fragments of number theory. The selection is highly recommended for mathematicians and researchers interested in the theory of models.

Official Gazette of the United States Patent Office

Author : United States. Patent Office
Publisher :
ISBN 13 :
Total Pages : 1496 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Official Gazette of the United States Patent Office by : United States. Patent Office

Download or read book Official Gazette of the United States Patent Office written by United States. Patent Office and published by . This book was released on 1952 with total page 1496 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Official Gazette of the United States Patent Office

Author : USA Patent Office
Publisher :
ISBN 13 :
Total Pages : 2282 pages
Book Rating : 4.0/5 (57 download)

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Book Synopsis Official Gazette of the United States Patent Office by : USA Patent Office

Download or read book Official Gazette of the United States Patent Office written by USA Patent Office and published by . This book was released on 1898 with total page 2282 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Biocatalysis in Oil Refining

Author :
Publisher : Elsevier
ISBN 13 : 0080545122
Total Pages : 437 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Biocatalysis in Oil Refining by :

Download or read book Biocatalysis in Oil Refining written by and published by Elsevier. This book was released on 2011-09-22 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biocatalysis in Oil Refining focuses on petroleum refining bioprocesses, establishing a connection between science and technology.The micro organisms and biomolecules examined for biocatalytic purposes for oil refining processes are thoroughly detailed. Terminology used by biologists, chemists and engineers is brought into a common language, aiding the understanding of complex biological-chemical-engineering issues. Problems to be addressed by the future R&D activities and by new technologies are described and summarized in the last chapter. * Updated references * Studying bioprocessing problems, looking at opportunities for improvements and technology developments

The Canadian Patent Office Record

Author : Canada. Patent Office
Publisher :
ISBN 13 :
Total Pages : 1420 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis The Canadian Patent Office Record by : Canada. Patent Office

Download or read book The Canadian Patent Office Record written by Canada. Patent Office and published by . This book was released on 1918 with total page 1420 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scientific Canadian Mechanics' Magazine and Patent Office Record

Author : Canada. Patent Office
Publisher :
ISBN 13 :
Total Pages : 2042 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Scientific Canadian Mechanics' Magazine and Patent Office Record by : Canada. Patent Office

Download or read book Scientific Canadian Mechanics' Magazine and Patent Office Record written by Canada. Patent Office and published by . This book was released on 1909 with total page 2042 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Canadian Patent Office Record and Register of Copyrights and Trade Marks

Author :
Publisher :
ISBN 13 :
Total Pages : 1300 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis The Canadian Patent Office Record and Register of Copyrights and Trade Marks by :

Download or read book The Canadian Patent Office Record and Register of Copyrights and Trade Marks written by and published by . This book was released on 1917 with total page 1300 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics And The 21st Century - Proceedings Of The International Conference

Author : A A Ashour
Publisher : World Scientific
ISBN 13 : 9814491586
Total Pages : 412 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Mathematics And The 21st Century - Proceedings Of The International Conference by : A A Ashour

Download or read book Mathematics And The 21st Century - Proceedings Of The International Conference written by A A Ashour and published by World Scientific. This book was released on 2001-04-02 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents:Millennium Lecture — Cairo, 15 January 2000 (M Atiyah)Trends for Science and Mathematics in the 21st Century (P A Griffiths)Arabic Mathematics and Rewriting the History of Mathematics (R Rashed)The Paradigm Shift in Mathematics Education: A Scenario for Change (W Ebeid)Einstein's Theory of Spacetime and Gravity (J Ehlers)Moduli Problems in Geometry (M S Narasimhan)Enumerative Geometry from the Greeks to Strings (C Procesi)Optical Solitons: Twenty-Seven Years of the Last Millennium and Three More Years of the New? (R K Bullough)Concepts of Non-Smooth Dynamical Systems (T Küpper)Radical Theory: Developments and Trends (R Wiegandt)On Minimal Subgroups of Finite Groups (M Asaad)Totally and Mutually Permutable Products of Finite Groups (A Ballester-Bolinches)Asymptotic Behaviour of Solutions of Evolution Equations (B Basit)On Nonlinear Evolution Equations with Applications (L Debnath)A Robust Layer-Resolving Numerical Method for a Free Convection Problem (J Étienne et al.)Growth Value-Distribution and Zero-Free Regions of Entire Functions and Sections (F F Abi-Khuzam)Three Linear Preserver Problems (A R Sourour)Prediction: Advances and New Research (E K Al-Hussaini)Inference on Parameters of the Laplace Distribution Based on Type-II Censored Samples Using Edgeworth Approximation (N Balakrishnan et al.)Mathematical Models in the Theory of Accelerated Experiments (V Bagdonavicius & M Nikulin)The Vibrations of a Drum with Fractal Boundary (J Fleckinger-Pellé)Intermediate States: Some Nonclassical Properties (M S Abdalla & A-S F Obada)On the Relativistic Two-Body Equation (S R Komy)Singularities in General Relativity and the Origin of Charge (K Buchner)The Inner Geometry of Light Cone in Godel Universe (M Abdel-Megied) Readership: Mathematicians. Keywords:Proceedings;Conference;Mathematics;Cairo (Egypt)