Continuous and Discrete 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 Continuous and Discrete Modules write by Saad H. Mohamed. This book was released on 1990-02-22. Continuous and Discrete Modules available in PDF, EPUB and Kindle. Continuous and discrete modules are, essentially, generalizations of infective and projective modules respectively. Continuous modules provide an appropriate setting for decomposition theory of von Neumann algebras and have important applications to C*-algebras. Discrete modules constitute a dual concept and are related to number theory and algebraic geometry: they possess perfect decomposition properties. The advantage of both types of module is that the Krull-Schmidt theorem can be applied, in part, to them. The authors present here a complete account of the subject and at the same time give a unified picture of the theory. The treatment is essentially self-contained, with background facts being summarized in the first chapter. This book will be useful therefore either to individuals beginning research, or the more experienced worker in algebra and representation theory.
Continuous and Discrete Modules
Continuous and Discrete 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 Continuous and Discrete Modules write by Saad H. Mohamed. This book was released on 2014-05-14. Continuous and Discrete Modules available in PDF, EPUB and Kindle. Continuous and discrete modules are, essentially, generalizations of infective and projective modules respectively. Continuous modules provide an appropriate setting for decomposition theory of von Neumann algebras and have important applications to C*-algebras. Discrete modules constitute a dual concept and are related to number theory and algebraic geometry: they possess perfect decomposition properties. The advantage of both types of module is that the Krull-Schmidt theorem can be applied, in part, to them. The authors present here a complete account of the subject and at the same time give a unified picture of the theory. The treatment is essentially self-contained, with background facts being summarized in the first chapter. This book will be useful therefore either to individuals beginning research, or the more experienced worker in algebra and representation theory.
Lifting Modules
Lifting 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 Lifting Modules write by John Clark. This book was released on 2008-08-17. Lifting Modules available in PDF, EPUB and Kindle. Extending modules are generalizations of injective modules and, dually, lifting modules generalize projective supplemented modules. This duality exhibits a certain asymmetry. While the theory of extending modules is well documented in monographs and text books, the purpose of this monograph is to provide a thorough study of supplements and projectivity conditions needed to investigate classes of modules related to lifting modules.
Classes of Modules
Classes 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 Classes of Modules write by John Dauns. This book was released on 2006-06-19. Classes of Modules available in PDF, EPUB and Kindle. Because traditional ring theory places restrictive hypotheses on all submodules of a module, its results apply only to small classes of already well understood examples. Often, modules with infinite Goldie dimension have finite-type dimension, making them amenable to use with type dimension, but not Goldie dimension. By working with natural classes
Algebra And Number Theory
Algebra And Number Theory - 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 Algebra And Number Theory write by Mohammed Boulagouaz. This book was released on 1999-11-09. Algebra And Number Theory available in PDF, EPUB and Kindle. This study demonstrates the key manipulations surrounding Brauer groups, graded rings, group representations, ideal classes of number fields, p-adic differential equations, and rationality problems of invariant fields - displaying a command of the most advanced methods in algebra. It describes new developments in noncommutative valuation theory and
