Classes Of Good Noetherian Rings

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Classes of Good Noetherian Rings

Author : Cristodor Ionescu
Publisher : Springer Nature
ISBN 13 : 303122292X
Total Pages : 487 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Classes of Good Noetherian Rings by : Cristodor Ionescu

Download or read book Classes of Good Noetherian Rings written by Cristodor Ionescu and published by Springer Nature. This book was released on 2023-03-28 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides an exhaustive treatment of several classes of Noetherian rings and morphisms of Noetherian local rings. Chapters carefully examine some of the most important topics in the area, including Nagata, F-finite and excellent rings, Bertini’s Theorem, and Cohen factorizations. Of particular interest is the presentation of Popescu’s Theorem on Neron Desingularization and the structure of regular morphisms, with a complete proof. Classes of Good Noetherian Rings will be an invaluable resource for researchers in commutative algebra, algebraic and arithmetic geometry, and number theory.

Noncommutative Noetherian Rings

Author : John C. McConnell
Publisher : American Mathematical Soc.
ISBN 13 : 0821821695
Total Pages : 658 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Noncommutative Noetherian Rings by : John C. McConnell

Download or read book Noncommutative Noetherian Rings written by John C. McConnell and published by American Mathematical Soc.. This book was released on 2001 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a reprinted edition of a work that was considered the definitive account in the subject area upon its initial publication by J. Wiley & Sons in 1987. It presents, within a wider context, a comprehensive account of noncommutative Noetherian rings. The author covers the major developments from the 1950s, stemming from Goldie's theorem and onward, including applications to group rings, enveloping algebras of Lie algebras, PI rings, differential operators, and localization theory. The book is not restricted to Noetherian rings, but discusses wider classes of rings where the methods apply more generally. In the current edition, some errors were corrected, a number of arguments have been expanded, and the references were brought up to date. This reprinted edition will continue to be a valuable and stimulating work for readers interested in ring theory and its applications to other areas of mathematics.

Localization in Noetherian Rings

Author : A. V. Jategaonkar
Publisher : Cambridge University Press
ISBN 13 : 0521317134
Total Pages : 341 pages
Book Rating : 4.5/5 (213 download)

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Book Synopsis Localization in Noetherian Rings by : A. V. Jategaonkar

Download or read book Localization in Noetherian Rings written by A. V. Jategaonkar and published by Cambridge University Press. This book was released on 1986-03-13 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph first published in 1986 is a reasonably self-contained account of a large part of the theory of non-commutative Noetherian rings. The author focuses on two important aspects: localization and the structure of infective modules. The former is presented in the opening chapters after which some new module-theoretic concepts and methods are used to formulate a new view of localization. This view, which is one of the book's highlights, shows that the study of localization is inextricably linked to the study of certain injectives and leads, for the first time, to some genuine applications of localization in the study of Noetherian rings. In the last part Professor Jategaonkar introduces a unified setting for four intensively studied classes of Noetherian rings: HNP rings, PI rings, enveloping algebras of solvable Lie algebras, and group rings of polycyclic groups. Some appendices summarize relevant background information about these four classes.

Representation Type of Commutative Noetherian Rings III: Global Wildness and Tameness

Author : Lee Klingler
Publisher : American Mathematical Soc.
ISBN 13 : 0821837389
Total Pages : 187 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Representation Type of Commutative Noetherian Rings III: Global Wildness and Tameness by : Lee Klingler

Download or read book Representation Type of Commutative Noetherian Rings III: Global Wildness and Tameness written by Lee Klingler and published by American Mathematical Soc.. This book was released on 2005 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: This memoir completes the series of papers beginning with [KL1,KL2], showing that, for a commutative noetherian ring $\Lambda$, either the category of $\Lambda$-modules of finite length has wild representation type or else we can describe the category of finitely generated $\Lambda$-modules, including their direct-sum relations and local-global relations. (There is a possible exception to our results, involving characteristic 2.)

An Introduction to Noncommutative Noetherian Rings

Author : K. R. Goodearl
Publisher : Cambridge University Press
ISBN 13 : 9780521545372
Total Pages : 372 pages
Book Rating : 4.5/5 (453 download)

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Book Synopsis An Introduction to Noncommutative Noetherian Rings by : K. R. Goodearl

Download or read book An Introduction to Noncommutative Noetherian Rings written by K. R. Goodearl and published by Cambridge University Press. This book was released on 2004-07-12 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to noncommutative noetherian rings is intended to be accessible to anyone with a basic background in abstract algebra. It can be used as a second-year graduate text, or as a self-contained reference. Extensive explanatory discussion is given, and exercises are integrated throughout. This edition incorporates substantial revisions, particularly in the first third of the book, where the presentation has been changed to increase accessibility and topicality. New material includes the basic types of quantum groups, which then serve as test cases for the theory developed.

Noetherian Rings and Their Applications

Author : Lance W. Small
Publisher : American Mathematical Soc.
ISBN 13 : 0821815253
Total Pages : 130 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Noetherian Rings and Their Applications by : Lance W. Small

Download or read book Noetherian Rings and Their Applications written by Lance W. Small and published by American Mathematical Soc.. This book was released on 1987 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: ". T. Stafford -- The Goldie rank of a module " . R. Farkas -- Noetherian group rings: An exercise in creating folklore and intuition " . C. Jantzen -- Primitive ideals in the enveloping algebra of a semisimple Lie algebra " . J. Enright -- Representation theory of semisimple Lie algebras " .-E. Björk -- Filtered Noetherian rings " . Rentschler -- Primitive ideals in enveloping algebras.

Interactions Between Ring Theory and Representations of Algebras

Author : Freddy Van Oystaeyen
Publisher : CRC Press
ISBN 13 : 9780824703677
Total Pages : 470 pages
Book Rating : 4.7/5 (36 download)

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Book Synopsis Interactions Between Ring Theory and Representations of Algebras by : Freddy Van Oystaeyen

Download or read book Interactions Between Ring Theory and Representations of Algebras written by Freddy Van Oystaeyen and published by CRC Press. This book was released on 2000-04-05 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is based on a set of lectures and invited papers presented at a meeting in Murcia, Spain, organized by the European Commission's Training and Mobility of Researchers (TMR) Programme. It contains information on the structure of representation theory of groups and algebras and on general ring theoretic methods related to the theory.

Mathematical Reports

Author :
Publisher :
ISBN 13 :
Total Pages : 932 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Mathematical Reports by :

Download or read book Mathematical Reports written by and published by . This book was released on 2001 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Course in Ring Theory

Author : Donald S. Passman
Publisher : American Mathematical Soc.
ISBN 13 : 9780821869383
Total Pages : 324 pages
Book Rating : 4.8/5 (693 download)

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Book Synopsis A Course in Ring Theory by : Donald S. Passman

Download or read book A Course in Ring Theory written by Donald S. Passman and published by American Mathematical Soc.. This book was released on 2004-09-28 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Projective modules: Modules and homomorphisms Projective modules Completely reducible modules Wedderburn rings Artinian rings Hereditary rings Dedekind domains Projective dimension Tensor products Local rings Polynomial rings: Skew polynomial rings Grothendieck groups Graded rings and modules Induced modules Syzygy theorem Patching theorem Serre conjecture Big projectives Generic flatness Nullstellensatz Injective modules: Injective modules Injective dimension Essential extensions Maximal ring of quotients Classical ring of quotients Goldie rings Uniform dimension Uniform injective modules Reduced rank Index

Multiplicities and Chern Classes in Local Algebra

Author : Paul C. Roberts
Publisher : Cambridge University Press
ISBN 13 : 9780521473163
Total Pages : 324 pages
Book Rating : 4.4/5 (731 download)

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Book Synopsis Multiplicities and Chern Classes in Local Algebra by : Paul C. Roberts

Download or read book Multiplicities and Chern Classes in Local Algebra written by Paul C. Roberts and published by Cambridge University Press. This book was released on 1998-05-13 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the theory of local Chern characters used in commutative algebra in an algebraic setting.

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.

Induction, Algorithmic Learning Theory, and Philosophy

Author : Michèle Friend
Publisher : Springer Science & Business Media
ISBN 13 : 1402061277
Total Pages : 296 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Induction, Algorithmic Learning Theory, and Philosophy by : Michèle Friend

Download or read book Induction, Algorithmic Learning Theory, and Philosophy written by Michèle Friend and published by Springer Science & Business Media. This book was released on 2007-08-21 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book to collect essays from philosophers, mathematicians and computer scientists working at the exciting interface of algorithmic learning theory and the epistemology of science and inductive inference. Readable, introductory essays provide engaging surveys of different, complementary, and mutually inspiring approaches to the topic, both from a philosophical and a mathematical viewpoint.

Model Theory

Author : Wilfrid Hodges
Publisher : Cambridge University Press
ISBN 13 : 9780521304429
Total Pages : 810 pages
Book Rating : 4.3/5 (44 download)

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Book Synopsis Model Theory by : Wilfrid Hodges

Download or read book Model Theory written by Wilfrid Hodges and published by Cambridge University Press. This book was released on 1993-03-11 with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt: Model theory is concerned with the notions of definition, interpretation and structure in a very general setting, and is applied to a wide range of other areas such as set theory, geometry, algebra and computer science. This book provides an integrated introduction to model theory for graduate students.

Groups, Modules, and Model Theory - Surveys and Recent Developments

Author : Manfred Droste
Publisher : Springer
ISBN 13 : 331951718X
Total Pages : 475 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Groups, Modules, and Model Theory - Surveys and Recent Developments by : Manfred Droste

Download or read book Groups, Modules, and Model Theory - Surveys and Recent Developments written by Manfred Droste and published by Springer. This book was released on 2017-06-02 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume focuses on group theory and model theory with a particular emphasis on the interplay of the two areas. The survey papers provide an overview of the developments across group, module, and model theory while the research papers present the most recent study in those same areas. With introductory sections that make the topics easily accessible to students, the papers in this volume will appeal to beginning graduate students and experienced researchers alike. As a whole, this book offers a cross-section view of the areas in group, module, and model theory, covering topics such as DP-minimal groups, Abelian groups, countable 1-transitive trees, and module approximations. The papers in this book are the proceedings of the conference “New Pathways between Group Theory and Model Theory,” which took place February 1-4, 2016, in Mülheim an der Ruhr, Germany, in honor of the editors’ colleague Rüdiger Göbel. This publication is dedicated to Professor Göbel, who passed away in 2014. He was one of the leading experts in Abelian group theory.

Algorithmic Learning Theory

Author : Michael M. Richter
Publisher : Springer
ISBN 13 : 3540497307
Total Pages : 450 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Algorithmic Learning Theory by : Michael M. Richter

Download or read book Algorithmic Learning Theory written by Michael M. Richter and published by Springer. This book was released on 2003-06-29 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains all the papers presented at the Ninth International Con- rence on Algorithmic Learning Theory (ALT’98), held at the European education centre Europ ̈aisches Bildungszentrum (ebz) Otzenhausen, Germany, October 8{ 10, 1998. The Conference was sponsored by the Japanese Society for Arti cial Intelligence (JSAI) and the University of Kaiserslautern. Thirty-four papers on all aspects of algorithmic learning theory and related areas were submitted, all electronically. Twenty-six papers were accepted by the program committee based on originality, quality, and relevance to the theory of machine learning. Additionally, three invited talks presented by Akira Maruoka of Tohoku University, Arun Sharma of the University of New South Wales, and Stefan Wrobel from GMD, respectively, were featured at the conference. We would like to express our sincere gratitude to our invited speakers for sharing with us their insights on new and exciting developments in their areas of research. This conference is the ninth in a series of annual meetings established in 1990. The ALT series focuses on all areas related to algorithmic learning theory including (but not limited to): the theory of machine learning, the design and analysis of learning algorithms, computational logic of/for machine discovery, inductive inference of recursive functions and recursively enumerable languages, learning via queries, learning by arti cial and biological neural networks, pattern recognition, learning by analogy, statistical learning, Bayesian/MDL estimation, inductive logic programming, robotics, application of learning to databases, and gene analyses.

Algebras, Rings and Modules

Author : Michiel Hazewinkel
Publisher : CRC Press
ISBN 13 : 1482245051
Total Pages : 388 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Algebras, Rings and Modules by : Michiel Hazewinkel

Download or read book Algebras, Rings and Modules written by Michiel Hazewinkel and published by CRC Press. This book was released on 2016-04-05 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of algebras, rings, and modules is one of the fundamental domains of modern mathematics. General algebra, more specifically non-commutative algebra, is poised for major advances in the twenty-first century (together with and in interaction with combinatorics), just as topology, analysis, and probability experienced in the twentieth century. This volume is a continuation and an in-depth study, stressing the non-commutative nature of the first two volumes of Algebras, Rings and Modules by M. Hazewinkel, N. Gubareni, and V. V. Kirichenko. It is largely independent of the other volumes. The relevant constructions and results from earlier volumes have been presented in this volume.

Algebra, $K$-Theory, Groups, and Education

Author : Hyman Bass
Publisher : American Mathematical Soc.
ISBN 13 : 0821810871
Total Pages : 250 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Algebra, $K$-Theory, Groups, and Education by : Hyman Bass

Download or read book Algebra, $K$-Theory, Groups, and Education written by Hyman Bass and published by American Mathematical Soc.. This book was released on 1999 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume includes expositions of key developments over the past four decades in commutative and non-commutative algebra, algebraic $K$-theory, infinite group theory, and applications of algebra to topology. Many of the articles are based on lectures given at a conference at Columbia University honoring the 65th birthday of Hyman Bass. Important topics related to Bass's mathematical interests are surveyed by leading experts in the field. Of particular note is a professional autobiography of Professor Bass, and an article by Deborah Ball on mathematical education. The range of subjects covered in the book offers a convenient single source for topics in the field.