Lifting Modules

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Release : 2008-08-17
Genre : Mathematics
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Book Rating : 736/5 ( reviews)

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.

Lifting Modules

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Author :
Release : 2006
Genre : Ideals (Algebra)
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Book Rating : /5 ( reviews)

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 . This book was released on 2006. Lifting Modules available in PDF, EPUB and Kindle.

Modules and Algebras

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Release : 1996-05-15
Genre : Mathematics
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Book Rating : 819/5 ( reviews)

Modules and Algebras - 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 Algebras write by Robert Wisbauer. This book was released on 1996-05-15. Modules and Algebras available in PDF, EPUB and Kindle. Module theory over commutative asociative rings is usually extended to noncommutative associative rings by introducing the category of left (or right) modules. An alternative to this procedure is suggested by considering bimodules. A refined module theory for associative rings is used to investigate the bimodule structure of arbitary algebras and group actions on these algebras.

Extending Modules

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Release : 2019-01-22
Genre : Mathematics
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Book Rating : 095/5 ( reviews)

Extending 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 Extending Modules write by Nguyen Viet Dung. This book was released on 2019-01-22. Extending Modules available in PDF, EPUB and Kindle. Module theory is an important tool for many different branches of mathematics, as well as being an interesting subject in its own right. Within module theory, the concept of injective modules is particularly important. Extending modules form a natural class of modules which is more general than the class of injective modules but retains many of its

Continuous and Discrete Modules

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Release : 1990-02-22
Genre : Mathematics
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Book Rating : 750/5 ( reviews)

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.