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| Author | : Maurice Auslander |
| Publisher | : Courier Corporation |
| Total Pages | : 484 |
| Release | : 2014-06-01 |
| Genre | : Mathematics |
| ISBN | : 048679542X |
Classic monograph covers sets and maps, monoids and groups, unique factorization domains, localization and tensor products, applications of fundamental theorem, algebraic field extension, Dedekind domains, and much more. 1974 edition.
| Author | : Alberto Facchini |
| Publisher | : CRC Press |
| Total Pages | : 530 |
| Release | : 2020-02-10 |
| Genre | : Mathematics |
| ISBN | : 9780824750817 |
Rings, Modules, Algebras, and Abelian Groups summarizes the proceedings of a recent algebraic conference held at Venice International University in Italy. Surveying the most influential developments in the field, this reference reviews the latest research on Abelian groups, algebras and their representations, module and ring theory, and topological
| Author | : M.R. Adhikari |
| Publisher | : Universities Press |
| Total Pages | : 336 |
| Release | : 2003 |
| Genre | : Commutative rings |
| ISBN | : 9788173714290 |
| Author | : Leonid Kurdachenko |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 253 |
| Release | : 2006-12-22 |
| Genre | : Mathematics |
| ISBN | : 3764377658 |
This book highlights important developments on artinian modules over group rings of generalized nilpotent groups. Along with traditional topics such as direct decompositions of artinian modules, criteria of complementability for some important modules, and criteria of semisimplicity of artinian modules, it also focuses on recent advanced results on these matters.
| Author | : Fernando Q. Gouvêa |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 309 |
| Release | : 2012-12-31 |
| Genre | : Mathematics |
| ISBN | : 1614442118 |
Insightful overview of many kinds of algebraic structures that are ubiquitous in mathematics. For researchers at graduate level and beyond.
| Author | : Maurice Auslander |
| Publisher | : Courier Corporation |
| Total Pages | : 484 |
| Release | : 2014-06-18 |
| Genre | : Mathematics |
| ISBN | : 0486490823 |
This classic monograph is geared toward advanced undergraduates and graduate students. The treatment presupposes some familiarity with sets, groups, rings, and vector spaces. The four-part approach begins with examinations of sets and maps, monoids and groups, categories, and rings. The second part explores unique factorization domains, general module theory, semisimple rings and modules, and Artinian rings. Part three's topics include localization and tensor products, principal ideal domains, and applications of fundamental theorem. The fourth and final part covers algebraic field extensions and Dedekind domains. Exercises are provided at the end of each chapter. Dover (2014) republication of the edition originally published by Harper & Row Publishers, New York, 1974. See every Dover book in print at www.doverpublications.com
| Author | : Robert Wisbauer |
| Publisher | : Routledge |
| Total Pages | : 425 |
| Release | : 2018-05-11 |
| Genre | : Mathematics |
| ISBN | : 1351447343 |
This volume provides a comprehensive introduction to module theory and the related part of ring theory, including original results as well as the most recent work. It is a useful and stimulating study for those new to the subject as well as for researchers and serves as a reference volume. Starting form a basic understanding of linear algebra, the theory is presented and accompanied by complete proofs. For a module M, the smallest Grothendieck category containing it is denoted by o[M] and module theory is developed in this category. Developing the techniques in o[M] is no more complicated than in full module categories and the higher generality yields significant advantages: for example, module theory may be developed for rings without units and also for non-associative rings. Numerous exercises are included in this volume to give further insight into the topics covered and to draw attention to related results in the literature.
| Author | : A. J. Berrick |
| Publisher | : Cambridge University Press |
| Total Pages | : 286 |
| Release | : 2000-05 |
| Genre | : Mathematics |
| ISBN | : 9780521632744 |
This is a concise 2000 introduction at graduate level to ring theory, module theory and number theory.
| Author | : Pat Goeters |
| Publisher | : CRC Press |
| Total Pages | : 354 |
| Release | : 2016-04-19 |
| Genre | : Mathematics |
| ISBN | : 142001076X |
About the book In honor of Edgar Enochs and his venerable contributions to a broad range of topics in Algebra, top researchers from around the world gathered at Auburn University to report on their latest work and exchange ideas on some of today's foremost research topics. This carefully edited volume presents the refereed papers of the par
| Author | : A. Giambruno |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 283 |
| Release | : 2009 |
| Genre | : Mathematics |
| ISBN | : 0821847716 |
Represents the proceedings of the conference on Groups, Rings and Group Rings, held July 28 - August 2, 2008, in Ubatuba, Brazil. This title contains results in active research areas in the theory of groups, group rings and algebras (including noncommutative rings), polynomial identities, Lie algebras and superalgebras.
