Proceedings of the Conference on Orders, Group Rings and Related Topics PDF Download
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Author: J. S. Hsia
Publisher: Springer
ISBN: 3540378189
Category : Mathematics
Languages : en
Pages : 235
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Book Description
Author: J. S. Hsia
Publisher: Springer
ISBN: 3540378189
Category : Mathematics
Languages : en
Pages : 235
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Book Description
Author: Yoshitomo Baba
Publisher: World Scientific
ISBN: 9814466816
Category : Mathematics
Languages : en
Pages : 310
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Book Description
Quasi-Frobenius rings and Nakayama rings were introduced by T Nakayama in 1939. Since then, these classical artinian rings have continued to fascinate ring theorists with their abundance of properties and structural depth. In 1978, M Harada introduced a new class of artinian rings which were later called Harada rings in his honour. Quasi-Frobenius rings, Nakayama rings and Harada rings are very closely interrelated. As a result, from a new perspective, we may study the classical artinian rings through their interaction and overlap with Harada rings. The objective of this seminal work is to present the structure of Harada rings and provide important applications of this structure to the classical artinian rings. In the process, we cover many topics on artinian rings, using a wide variety of concepts from the theory of rings and modules. In particular, we consider the following topics, all of which are currently of much interest and ongoing research: Nakayama permutations, Nakayama automorphisms, Fuller's theorem on i-pairs, artinian rings with self-duality, skew-matrix rings, the classification of Nakayama rings, Nakayama group algebras, the Faith conjecture, constructions of local quasi-Frobenius rings, lifting modules, and extending modules. In our presentation of these topics, the reader will be able to retrace the history of artinian rings.
Author: G. Maruyama
Publisher: Springer
ISBN: 3540379665
Category : Mathematics
Languages : en
Pages : 732
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Book Description
Author: J.A. Goldstein
Publisher: Springer
ISBN: 354037440X
Category : Mathematics
Languages : en
Pages : 398
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Book Description
Author: O.E. Lehto
Publisher: Springer
ISBN: 354037907X
Category : Mathematics
Languages : en
Pages : 408
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Book Description
Author: J.H. Cozzens
Publisher: Springer
ISBN: 3540379835
Category : Mathematics
Languages : en
Pages : 221
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Book Description
Author: L.H. Hodgkin
Publisher: Springer
ISBN: 3540380264
Category : Mathematics
Languages : en
Pages : 301
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Book Description
Author: R. A. Bryce
Publisher: Springer
ISBN: 3540374280
Category : Mathematics
Languages : en
Pages : 156
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Book Description
Author: Richard K. Guy
Publisher:
ISBN:
Category : Mathematical reviews
Languages : en
Pages : 720
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Book Description
Author: Dolors Herbera
Publisher: Birkhäuser
ISBN: 3319454412
Category : Mathematics
Languages : en
Pages : 180
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Book Description
This book includes 33 expanded abstracts of selected talks given at the two workshops "Homological Bonds Between Commutative Algebra and Representation Theory" and "Brave New Algebra: Opening Perspectives," and the conference "Opening Perspectives in Algebra, Representations, and Topology," held at the Centre de Recerca Matemàtica (CRM) in Barcelona between January and June 2015. These activities were part of the one-semester intensive research program "Interactions Between Representation Theory, Algebraic Topology and Commutative Algebra (IRTATCA)." Most of the abstracts present preliminary versions of not-yet published results and cover a large number of topics (including commutative and non commutative algebra, algebraic topology, singularity theory, triangulated categories, representation theory) overlapping with homological methods. This comprehensive book is a valuable resource for the community of researchers interested in homological algebra in a broad sense, and those curious to learn the latest developments in the area. It appeals to established researchers as well as PhD and postdoctoral students who want to learn more about the latest advances in these highly active fields of research.
