Algebras, Rings and Modules - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebras, Rings and Modules write by Michiel Hazewinkel. This book was released on 2016-04-05. Algebras, Rings and Modules available in PDF, EPUB and Kindle. 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 centu
Rings and Categories of Modules
Rings and Categories of Modules - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Rings and Categories of Modules write by Frank W. Anderson. This book was released on 2012-12-06. Rings and Categories of Modules available in PDF, EPUB and Kindle. 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.
Exercises in Modules and Rings
Exercises in Modules and Rings - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Exercises in Modules and Rings write by T.Y. Lam. This book was released on 2009-12-08. Exercises in Modules and Rings available in PDF, EPUB and Kindle. This volume offers a compendium of exercises of varying degree of difficulty in the theory of modules and rings. It is the companion volume to GTM 189. All exercises are solved in full detail. Each section begins with an introduction giving the general background and the theoretical basis for the problems that follow.
Rings, Modules, Algebras, and Abelian Groups
Rings, Modules, Algebras, and Abelian Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Rings, Modules, Algebras, and Abelian Groups write by Alberto Facchini. This book was released on 2020-02-10. Rings, Modules, Algebras, and Abelian Groups available in PDF, EPUB and Kindle. 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
Lectures on Modules and Rings
Lectures on Modules and Rings - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on Modules and Rings write by Tsit-Yuen Lam. This book was released on 2012-12-06. Lectures on Modules and Rings available in PDF, EPUB and Kindle. This new book can be read independently from the first volume and may be used for lecturing, seminar- and self-study, or for general reference. It focuses more on specific topics in order to introduce readers to a wealth of basic and useful ideas without the hindrance of heavy machinery or undue abstractions. User-friendly with its abundance of examples illustrating the theory at virtually every step, the volume contains a large number of carefully chosen exercises to provide newcomers with practice, while offering a rich additional source of information to experts. A direct approach is used in order to present the material in an efficient and economic way, thereby introducing readers to a considerable amount of interesting ring theory without being dragged through endless preparatory material.
