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Lifting Modules


Lifting Modules
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Lifting Modules


Lifting Modules
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Author :
language : en
Publisher:
Release Date : 2006

Lifting Modules written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Ideals (Algebra) categories.




Lifting Modules


Lifting Modules
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Author : John Clark
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-08-17

Lifting Modules written by John Clark and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-17 with Mathematics categories.


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


Lifting Modules
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Author : John Clark
language : en
Publisher: Birkhäuser
Release Date : 2009-09-03

Lifting Modules written by John Clark and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-03 with Mathematics categories.


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


Lifting Modules
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Author : John Clark
language : en
Publisher: Birkhäuser
Release Date : 2006-07-18

Lifting Modules written by John Clark and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-18 with Mathematics categories.


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.



Modules And Algebras


Modules And Algebras
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Author : Robert Wisbauer
language : en
Publisher: CRC Press
Release Date : 1996-05-15

Modules And Algebras written by Robert Wisbauer and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-05-15 with Mathematics categories.


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.



Modules And Comodules


Modules And Comodules
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Author : Tomasz Brzezinski
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-06-26

Modules And Comodules written by Tomasz Brzezinski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-06-26 with Mathematics categories.


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.



Module Theory Extending Modules And Generalizations


Module Theory Extending Modules And Generalizations
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Author : Adnan Tercan
language : en
Publisher: Birkhäuser
Release Date : 2016-05-13

Module Theory Extending Modules And Generalizations written by Adnan Tercan and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-13 with Mathematics categories.


The main focus of this monograph is to offer a comprehensive presentation of known and new results on various generalizations of CS-modules and CS-rings. Extending (or CS) modules are generalizations of injective (and also semisimple or uniform) modules. While the theory of CS-modules is well documented in monographs and textbooks, results on generalized forms of the CS property as well as dual notions are far less present in the literature. With their work the authors provide a solid background to module theory, accessible to anyone familiar with basic abstract algebra. The focus of the book is on direct sums of CS-modules and classes of modules related to CS-modules, such as relative (injective) ejective modules, (quasi) continuous modules, and lifting modules. In particular, matrix CS-rings are studied and clear proofs of fundamental decomposition results on CS-modules over commutative domains are given, thus complementing existing monographs in this area. Open problems round out the work and establish the basis for further developments in the field. The main text is complemented by a wealth of examples and exercises.



Extending Modules


Extending Modules
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Author : Nguyen Viet Dung
language : en
Publisher: Routledge
Release Date : 2019-01-22

Extending Modules written by Nguyen Viet Dung and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-22 with Mathematics categories.


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



Noncommutative Rings And Their Applications


Noncommutative Rings And Their Applications
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Author : Steven Dougherty
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-02-20

Noncommutative Rings And Their Applications written by Steven Dougherty and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-20 with Mathematics categories.


Contains the Proceedings of an International Conference on Noncommutative Rings and Their Applications, held July 1-4, 2013, at the Universite d'Artois, Lens, France. It presents recent developments in the theories of noncommutative rings and modules over such rings as well as applications of these to coding theory, enveloping algebras, and Leavitt path algebras.



Invariance Of Modules Under Automorphisms Of Their Envelopes And Covers


Invariance Of Modules Under Automorphisms Of Their Envelopes And Covers
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Author : Ashish K. Srivastava
language : en
Publisher: Cambridge University Press
Release Date : 2021-03-18

Invariance Of Modules Under Automorphisms Of Their Envelopes And Covers written by Ashish K. Srivastava and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-18 with Mathematics categories.


Provides a unified treatment of the study of modules invariant under automorphisms of their envelopes and covers.