Lifting Modules

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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. There is a certain asymmetry in this duality. While the theory of extending modules is well documented in monographs and text books, the purpose of our monograph is to provide a thorough study of supplements and projectivity conditions needed to investigate classes of modules related to lifting modules. The text begins with an introduction to small submodules, the radical, variations on projectivity, and hollow dimension. The subsequent chapters consider preradicals and torsion theories (in particular related to small modules), decompositions of modules (including the exchange property and local semi-T-nilpotency), supplements in modules (with specific emphasis on semilocal endomorphism rings), finishing with a long chapter on lifting modules, leading up their use in the theory of perfect rings, Harada rings, and quasi-Frobenius rings. Most of the material in the monograph appears in book form for the first time. The main text is augmented by a plentiful supply of exercises together with comments on further related material and on how the theory has evolved.

Ring And Module Theory

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Author : Toma Albu
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-02-04

Ring And Module Theory written by Toma Albu 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 2011-02-04 with Mathematics categories.

This book is a collection of invited papers and articles, many presented at the 2008 International Conference on Ring and Module Theory. The papers explore the latest in various areas of algebra, including ring theory, module theory and commutative algebra.

Ring Theory And Its Applications

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Author : Dinh Van Huynh
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-02-21

Ring Theory And Its Applications written by Dinh Van Huynh 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 2014-02-21 with Mathematics categories.

This volume contains the proceedings of the Ring Theory Session in honor of T. Y. Lam's 70th birthday, at the 31st Ohio State-Denison Mathematics Conference, held from May 25-27, 2012, at The Ohio State University, Columbus, Ohio. Included are expository articles and research papers covering topics such as cyclically presented modules, Eggert's conjecture, the Mittag-Leffler conditions, clean rings, McCoy rings, QF rings, projective and injective modules, Baer modules, and Leavitt path algebras. Graduate students and researchers in many areas of algebra will find this volume valuable as the papers point out many directions for future work; in particular, several articles contain explicit lists of open questions.

Advances In Ring Theory Proceedings Of The 4th China Japan Korea International Conference

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Author : Jianlong Chen
language : en
Publisher: World Scientific
Release Date : 2005-08-22

Advances In Ring Theory Proceedings Of The 4th China Japan Korea International Conference written by Jianlong Chen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-22 with Mathematics categories.

The selected papers in this volume cover all the most important areas of ring theory and module theory such as classical ring theory, representation theory, the theory of quantum groups, the theory of Hopf algebras, the theory of Lie algebras and Abelian group theory. The review articles, written by specialists, provide an excellent overview of the various areas of ring and module theory — ideal for researchers looking for a new or related field of study. Also included are original articles showing the trend of current research.

Mathematics Of Computer Science Cybersecurity And Artificial Intelligence

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Author : Cheikh Thiecoumba Gueye
language : en
Publisher: Springer Nature
Release Date : 2024-12-10

Mathematics Of Computer Science Cybersecurity And Artificial Intelligence written by Cheikh Thiecoumba Gueye and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-10 with Mathematics categories.

This proceedings book gathers selected, peer-reviewed papers presented at the Fifth Scientific Days of the Doctoral School of Mathematics and Computer Sciences - S2DSMCS, held from December 20–22, 2023, at Cheikh Anta Diop University in Dakar, Senegal. The cutting-edge works cover timely topics in cryptography, cybersecurity, and artificial intelligence, with applications extending to fields such as telecommunications and smart networks. This collection showcases research activities developed by a new generation of mathematicians and computer scientists from Africa, Europe, Asia, and America. By fostering cooperation among both young and experienced researchers, the S2DSMSC conference aligns with other conferences in the region, such as Africacrypt - the International Conference on Cryptology in Africa, the Non-commutative Algebra and Operator Theory (NANCAOT) international workshops, and the International Conference in Algebra, Codes, and Cryptology (A2C), all with proceedings published by Springer.

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Author :
language : en
Publisher:
Release Date : 2007

written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with categories.

Mathematical Reviews

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Author :
language : en
Publisher:
Release Date : 2008

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.

Kyungpook Mathematical Journal

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Author :
language : en
Publisher:
Release Date : 2008

Kyungpook Mathematical Journal written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.

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.

Hilbert Modules Over Function Algebras

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Author : Ronald G. Douglas
language : en
Publisher: Longman
Release Date : 1989

Hilbert Modules Over Function Algebras written by Ronald G. Douglas and has been published by Longman this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.