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Author : B. J. Gardner
Publisher : Longman
ISBN 13 :
Total Pages : 216 pages
Book Rating : 4.:/5 (318 download)
Download or read book Rings, Modules, and Radicals written by B. J. Gardner and published by Longman. This book was released on 1989 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 194 pages
Book Rating : 4.:/5 (859 download)
Download or read book Rings, Modules and Radicals written by and published by . This book was released on 1989 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R. Wiegandt
Publisher : CRC Press
ISBN 13 : 9780582292819
Total Pages : 276 pages
Book Rating : 4.2/5 (928 download)
Download or read book Rings and Radicals written by R. Wiegandt and published by CRC Press. This book was released on 1996-04-18 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1996. Routledge is an imprint of Taylor & Francis, an informa company.
Author : John Dauns
Publisher : Cambridge University Press
ISBN 13 : 0521462584
Total Pages : 470 pages
Book Rating : 4.5/5 (214 download)
Download or read book Modules and Rings written by John Dauns and published by Cambridge University Press. This book was released on 1994-10-28 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on modern module and non-commutative ring theory is ideal for beginning graduate students. It starts at the foundations of the subject and progresses rapidly through the basic concepts to help the reader reach current research frontiers. Students will have the chance to develop proofs, solve problems, and to find interesting questions. The first half of the book is concerned with free, projective, and injective modules, tensor algebras, simple modules and primitive rings, the Jacobson radical, and subdirect products. Later in the book, more advanced topics, such as hereditary rings, categories and functors, flat modules, and purity are introduced. These later chapters will also prove a useful reference for researchers in non-commutative ring theory. Enough background material (including detailed proofs) is supplied to give the student a firm grounding in the subject.
Author : J.W. Gardner
Publisher : CRC Press
ISBN 13 : 9780203913352
Total Pages : 412 pages
Book Rating : 4.9/5 (133 download)
Download or read book Radical Theory of Rings written by J.W. Gardner and published by CRC Press. This book was released on 2003-11-19 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Radical Theory of Rings distills the most noteworthy present-day theoretical topics, gives a unified account of the classical structure theorems for rings, and deepens understanding of key aspects of ring theory via ring and radical constructions. Assimilating radical theory's evolution in the decades since the last major work on rings and radicals was published, the authors deal with some distinctive features of the radical theory of nonassociative rings, associative rings with involution, and near-rings. Written in clear algebraic terms by globally acknowledged authorities, the presentation includes more than 500 landmark and up-to-date references providing direction for further research.
Author : Robert Wisbauer
Publisher : Routledge
ISBN 13 : 1351447343
Total Pages : 425 pages
Book Rating : 4.3/5 (514 download)
Download or read book Foundations of Module and Ring Theory written by Robert Wisbauer and published by Routledge. This book was released on 2018-05-11 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Friedrich Kasch
Publisher : Springer Science & Business Media
ISBN 13 : 9783764371258
Total Pages : 154 pages
Book Rating : 4.3/5 (712 download)
Download or read book Rings, Modules, and the Total written by Friedrich Kasch and published by Springer Science & Business Media. This book was released on 2004-06-25 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible to anyone with a basic knowledge of ring and module theory A short introduction to torsion-free Abelian groups is included
Author : Gregory Karpilovsky
Publisher :
ISBN 13 :
Total Pages : 592 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Jacobson Radical of Classical Rings written by Gregory Karpilovsky and published by . This book was released on 1991 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to provide comprehensive coverage of the structure of the Jacobson radical of classical rings. Special attention is drawn to the discoveries concerning the Jacobson radical of graded rings. The main objective has been to present an accessible, self-contained and detailed coverage of the present state of the subject, so that the reader can find in one place all that is needed for a thorough understanding of the main results, along with concrete information on how the ideas are applied.
Author : Andor Kertesz
Publisher :
ISBN 13 :
Total Pages : 520 pages
Book Rating : 4.:/5 (396 download)
Download or read book Rings, Modules and Radicals written by Andor Kertesz and published by . This book was released on 1971 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richárd Wiegandt
Publisher : Kingston, Ont. : Queen's University
ISBN 13 :
Total Pages : 258 pages
Book Rating : 4.X/5 (1 download)
Download or read book Radical and Semisimple Classes of Rings written by Richárd Wiegandt and published by Kingston, Ont. : Queen's University. This book was released on 1974 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Andor Kertész
Publisher :
ISBN 13 :
Total Pages : 528 pages
Book Rating : 4.:/5 (44 download)
Download or read book Rings, Modules and Radicals written by Andor Kertész and published by . This book was released on 1973 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Paul E. Bland
Publisher : Walter de Gruyter
ISBN 13 : 3110250225
Total Pages : 467 pages
Book Rating : 4.1/5 (12 download)
Download or read book Rings and Their Modules written by Paul E. Bland and published by Walter de Gruyter. This book was released on 2011 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the theory of rings and modules that goes beyond what one normally obtains in a graduate course in abstract algebra. In addition to the presentation of standard topics in ring and module theory, it also covers category theory, homological algebra and even more specialized topics like injective envelopes and proj
Author : B. J. Gardner
Publisher : Longman
ISBN 13 :
Total Pages : 212 pages
Book Rating : 4.:/5 (5 download)
Download or read book Rings, Modules, and Radicals written by B. J. Gardner and published by Longman. This book was released on 1989 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joachim Lambek
Publisher :
ISBN 13 :
Total Pages : 206 pages
Book Rating : 4.3/5 (91 download)
Download or read book Lectures on Rings and Modules written by Joachim Lambek and published by . This book was released on 1966 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joachim Lambek
Publisher : American Mathematical Soc.
ISBN 13 : 082184900X
Total Pages : 196 pages
Book Rating : 4.8/5 (218 download)
Download or read book Lectures on Rings and Modules written by Joachim Lambek and published by American Mathematical Soc.. This book was released on 2009 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the theory of associative rings and their modules, designed primarily for graduate students. The standard topics on the structure of rings are covered, with a particular emphasis on the concept of the complete ring of quotients. A survey of the fundamental concepts of algebras in the first chapter helps to make the treatment self-contained. The topics covered include selected results on Boolean and other commutative rings, the classical structure theory of associative rings, injective modules, and rings of quotients. The final chapter provides an introduction to homological algebra. Besides three appendices on further results, there is a six-page section of historical comments. Table of Contents: Fundamental Concepts of Algebra: 1.1 Rings and related algebraic systems; 1.2 Subrings, homomorphisms, ideals; 1.3 Modules, direct products, and direct sums; 1.4 Classical isomorphism theorems. Selected Topics on Commutative Rings: 2.1 Prime ideals in commutative rings; 2.2 Prime ideals in special commutative rings; 2.3 The complete ring of quotients of a commutative ring; 2.4 Rings of quotients of commutative semiprime rings; 2.5 Prime ideal spaces.Classical Theory of Associative Rings: 3.1 Primitive rings; 3.2 Radicals; 3.3 Completely reducible modules; 3.4 Completely reducible rings; 3.5 Artinian and Noetherian rings; 3.6 On lifting idempotents; 3.7 Local and semiperfect rings. Injectivity and Related Concepts: 4.1 Projective modules; 4.2 Injective modules; 4.3 The complete ring of quotients; 4.4 Rings of endomorphisms of injective modules; 4.5 Regular rings of quotients; 4.6 Classical rings of quotients; 4.7 The Faith-Utumi theorem. Introduction to Homological Algebra: 5.1 Tensor products of modules; 5.2 Hom and $\otimes$ as functors; 5.3 Exact sequences; 5.4 Flat modules; 5.5 Torsion and extension products. Appendixes; Comments; Bibliography; Index. Review from Zentralblatt Math: Due to their clarity and intelligible presentation, these lectures on rings and modules are a particularly successful introduction to the surrounding circle of ideas. Review from American Mathematical Monthly: An introduction to associative rings and modules which requires of the reader only the mathematical maturity which one would attain in a first-year graduate algebra [course]...in order to make the contents of the book as accessible as possible, the author develops all the fundamentals he will need.In addition to covering the basic topics...the author covers some topics not so readily available to the nonspecialist...the chapters are written to be as independent as possible...[which will be appreciated by] students making their first acquaintance with the subject...one of the most successful features of the book is that it can be read by graduate students with little or no help from a specialist. (CHEL/283.H)
Author : Frank W. Anderson
Publisher : Springer Science & Business Media
ISBN 13 : 1461244188
Total Pages : 386 pages
Book Rating : 4.4/5 (612 download)
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.
Author : Toma Albu
Publisher : Springer Science & Business Media
ISBN 13 : 3034600070
Total Pages : 200 pages
Book Rating : 4.0/5 (346 download)
Download or read book Ring and Module Theory written by Toma Albu and published by Springer Science & Business Media. This book was released on 2011-02-04 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of invited papers and articles, many presented at the 2008 International Conference on Ring and Module Theory. The papers explore the latest in various areas of algebra, including ring theory, module theory and commutative algebra.
