Extending Modules
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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
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.
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.
Extending Modules
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Author : Nguyen Viet Dung
language : en
Publisher: Halsted Press
Release Date : 1994-11-01
Extending Modules written by Nguyen Viet Dung and has been published by Halsted Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-11-01 with Modules (Algebra) 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.
St Closed Submodules And Semi Extending Modules
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Author : Maysaa Riadh Abbas
language : en
Publisher:
Release Date : 2016-04-23
St Closed Submodules And Semi Extending Modules written by Maysaa Riadh Abbas and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-23 with categories.
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
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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.
Extending Modules Relative To Module Classes
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Author : Semra Dog̮ruöz
language : en
Publisher:
Release Date : 1997
Extending Modules Relative To Module Classes written by Semra Dog̮ruöz 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 Modules And Codes
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Author : André Leroy
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-04-12
Rings Modules And Codes written by André Leroy 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 2019-04-12 with Modules (Algebra) categories.
This book contains the proceedings of the Fifth International Conference on Noncommutative Rings and their Applications, held from June 12–15, 2017, at the University of Artois, Lens, France. The papers are related to noncommutative rings, covering topics such as: ring theory, with both the elementwise and more structural approaches developed; module theory with popular topics such as automorphism invariance, almost injectivity, ADS, and extending modules; and coding theory, both the theoretical aspects such as the extension theorem and the more applied ones such as Construction A or Reed–Muller codes. Classical topics like enveloping skewfields, weak Hopf algebras, and tropical algebras are also presented.