Classes Of Modules
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Classes Of Modules
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Author : John Dauns
language : en
Publisher: CRC Press
Release Date : 2006-06-19
Classes Of Modules written by John Dauns and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-19 with Mathematics categories.
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
Module Theory
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Author : Alberto Facchini
language : en
Publisher:
Release Date : 2014-09-26
Module Theory written by Alberto Facchini and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-26 with categories.
On Some Classes Of Modules And Their Endomorphism Ring
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Author : Mai Hoang Bien
language : en
Publisher: LAP Lambert Academic Publishing
Release Date : 2014-09-29
On Some Classes Of Modules And Their Endomorphism Ring written by Mai Hoang Bien and has been published by LAP Lambert Academic Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-29 with categories.
The first aim of this book is to generalize this result from indecomposable modules to square-free ones by showing that an injective module is square-free if and only if its endomorphism ring is quasi-duo. The second aim is to describe all maximal right (left, two-sided) ideals of the endomorphism ring of an arbitrary injective module. And the third aim is to study two classes of modules: Loewy modules with finite Loewy invariants over an arbitrary ring and max modules with finite radical invariants over a semilocal ring.
On Some Classes Of Modules And Their Endomorphism Rings
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Author :
language : en
Publisher:
Release Date : 2014
On Some Classes Of Modules And Their Endomorphism Rings written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with categories.
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.
Some Special Classes Of Modules
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Author : William T. H. Loggie
language : en
Publisher:
Release Date : 1997
Some Special Classes Of Modules written by William T. H. Loggie and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Modules (Algebra) categories.
Rings Over Which Some Classes Of Modules Are Flat A Survey
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Author : Tikaram Subedi
language : en
Publisher:
Release Date : 2017-04-13
Rings Over Which Some Classes Of Modules Are Flat A Survey written by Tikaram Subedi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-13 with categories.
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.
Characteristic Classes For Modules Over Cyclic Groups
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Author : Iris Cox Hayslip
language : en
Publisher:
Release Date : 1982
Characteristic Classes For Modules Over Cyclic Groups written by Iris Cox Hayslip and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Algebra, Homological categories.
Extensions Of Rings And Modules
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Author : Gary F. Birkenmeier
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-07-19
Extensions Of Rings And Modules written by Gary F. Birkenmeier 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 2013-07-19 with Mathematics categories.
The "extensions" of rings and modules have yet to be explored in detail in a research monograph. This book presents state of the art research and also stimulating new and further research. Broken into three parts, Part I begins with basic notions, terminology, definitions and a description of the classes of rings and modules. Part II considers the transference of conditions between a base ring or module and its extensions. And Part III utilizes the concept of a minimal essental extension with respect to a specific class (a hull). Mathematical interdisciplinary applications appear throughout. Major applications of the ring and module theory to Functional Analysis, especially C*-algebras, appear in Part III, make this book of interest to Algebra and Functional Analysis researchers. Notes and exercises at the end of every chapter, and open problems at the end of all three parts, lend this as an ideal textbook for graduate or advanced undergradate students.
