Modules and Comodules - 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 Modules and Comodules write by Tomasz Brzezinski. This book was released on 2008-06-26. Modules and Comodules available in PDF, EPUB and Kindle. The 23 articles in this volume encompass the proceedings of the International Conference on Modules and Comodules held in Porto (Portugal) in 2006. The conference was dedicated to Robert Wisbauer on the occasion of his 65th birthday. These articles reflect Professor Wisbauer's wide interests and give an overview of different fields related to module theory. While some of these fields have a long tradition, others represented here have emerged in recent years.
Corings and Comodules
Corings and Comodules - 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 Corings and Comodules write by Tomasz Brzezinski. This book was released on 2003-09-15. Corings and Comodules available in PDF, EPUB and Kindle. This is the first extensive treatment of the theory of corings and their comodules. In the first part, the module-theoretic aspects of coalgebras over commutative rings are described. Corings are then defined as coalgebras over non-commutative rings. Topics covered include module-theoretic aspects of corings, such as the relation of comodules to special subcategories of the category of modules (sigma-type categories), connections between corings and extensions of rings, properties of new examples of corings associated to entwining structures, generalisations of bialgebras such as bialgebroids and weak bialgebras, and the appearance of corings in non-commutative geometry.
Two Kinds of Derived Categories, Koszul Duality, and Comodule-Contramodule Correspondence
Two Kinds of Derived Categories, Koszul Duality, and Comodule-Contramodule Correspondence - 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 Two Kinds of Derived Categories, Koszul Duality, and Comodule-Contramodule Correspondence write by Leonid Positselski. This book was released on 2011. Two Kinds of Derived Categories, Koszul Duality, and Comodule-Contramodule Correspondence available in PDF, EPUB and Kindle. "July 2011, volume 212, number 996 (first of 4 numbers)."
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.
Categories and Functors
Categories and Functors - 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 Categories and Functors write by Bodo Pareigis. This book was released on 1970. Categories and Functors available in PDF, EPUB and Kindle.
