Author: Maurice Auslander
Publisher: Courier Corporation
ISBN: 048679542X
Category : Mathematics
Languages : ja
Pages : 484
Book Description
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.
Groups, Rings, Modules
Author: Maurice Auslander
Publisher: Courier Corporation
ISBN: 048679542X
Category : Mathematics
Languages : ja
Pages : 484
Book Description
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.
Publisher: Courier Corporation
ISBN: 048679542X
Category : Mathematics
Languages : ja
Pages : 484
Book Description
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.
Groups, Rings And Modules With Applications
Author: M.R. Adhikari
Publisher: Universities Press
ISBN: 9788173714290
Category : Commutative rings
Languages : en
Pages : 336
Book Description
Publisher: Universities Press
ISBN: 9788173714290
Category : Commutative rings
Languages : en
Pages : 336
Book Description
Rings, Modules, Algebras, and Abelian Groups
Author: Alberto Facchini
Publisher: CRC Press
ISBN: 9780824750817
Category : Mathematics
Languages : en
Pages : 530
Book Description
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
Publisher: CRC Press
ISBN: 9780824750817
Category : Mathematics
Languages : en
Pages : 530
Book Description
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
Groups, Rings, Modules
Author: Maurice Auslander
Publisher: Courier Corporation
ISBN: 0486490823
Category : Mathematics
Languages : en
Pages : 484
Book Description
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
Publisher: Courier Corporation
ISBN: 0486490823
Category : Mathematics
Languages : en
Pages : 484
Book Description
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
A Guide to Groups, Rings, and Fields
Author: Fernando Q. GouvĂȘa
Publisher: American Mathematical Soc.
ISBN: 1614442118
Category : Mathematics
Languages : en
Pages : 309
Book Description
Insightful overview of many kinds of algebraic structures that are ubiquitous in mathematics. For researchers at graduate level and beyond.
Publisher: American Mathematical Soc.
ISBN: 1614442118
Category : Mathematics
Languages : en
Pages : 309
Book Description
Insightful overview of many kinds of algebraic structures that are ubiquitous in mathematics. For researchers at graduate level and beyond.
Artinian Modules over Group Rings
Author: Leonid Kurdachenko
Publisher: BirkhÀuser
ISBN: 9783764391522
Category : Mathematics
Languages : en
Pages : 247
Book Description
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.
Publisher: BirkhÀuser
ISBN: 9783764391522
Category : Mathematics
Languages : en
Pages : 247
Book Description
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.
Rings, Modules, and the Total
Author: Friedrich Kasch
Publisher: Springer Science & Business Media
ISBN: 9783764371258
Category : Mathematics
Languages : en
Pages : 154
Book Description
Accessible to anyone with a basic knowledge of ring and module theory A short introduction to torsion-free Abelian groups is included
Publisher: Springer Science & Business Media
ISBN: 9783764371258
Category : Mathematics
Languages : en
Pages : 154
Book Description
Accessible to anyone with a basic knowledge of ring and module theory A short introduction to torsion-free Abelian groups is included
Foundations of Module and Ring Theory
Author: Robert Wisbauer
Publisher: Routledge
ISBN: 1351447343
Category : Mathematics
Languages : en
Pages : 622
Book Description
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.
Publisher: Routledge
ISBN: 1351447343
Category : Mathematics
Languages : en
Pages : 622
Book Description
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.
Rings, Fields and Groups
Author: R. B. J. T. Allenby
Publisher: Butterworth-Heinemann
ISBN: 9780340544402
Category : Mathematics
Languages : en
Pages : 383
Book Description
Provides an introduction to the results, methods and ideas which are now commonly studied in abstract algebra courses
Publisher: Butterworth-Heinemann
ISBN: 9780340544402
Category : Mathematics
Languages : en
Pages : 383
Book Description
Provides an introduction to the results, methods and ideas which are now commonly studied in abstract algebra courses
An Introduction to Rings and Modules
Author: A. J. Berrick
Publisher: Cambridge University Press
ISBN: 9780521632744
Category : Mathematics
Languages : en
Pages : 286
Book Description
This is a concise 2000 introduction at graduate level to ring theory, module theory and number theory.
Publisher: Cambridge University Press
ISBN: 9780521632744
Category : Mathematics
Languages : en
Pages : 286
Book Description
This is a concise 2000 introduction at graduate level to ring theory, module theory and number theory.