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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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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Author: J.A. Goldstein
Publisher: Springer
ISBN: 354037440X
Category : Mathematics
Languages : en
Pages : 398
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Author: O.E. Lehto
Publisher: Springer
ISBN: 354037907X
Category : Mathematics
Languages : en
Pages : 408
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Author: J.H. Cozzens
Publisher: Springer
ISBN: 3540379835
Category : Mathematics
Languages : en
Pages : 221
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Author: Volker Diekert
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3111473570
Category : Mathematics
Languages : en
Pages : 252
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Book Description
This book contains surveys and research articles on the state-of-the-art in finitely presented groups for researchers and graduate students. Overviews of current trends in exponential groups and of the classification of finite triangle groups and finite generalized tetrahedron groups are complemented by new results on a conjecture of Rosenberger and an approximation theorem. A special emphasis is on algorithmic techniques and their complexity, both for finitely generated groups and for finite Z-algebras, including explicit computer calculations highlighting important classical methods. A further chapter surveys connections to mathematical logic, in particular to universal theories of various classes of groups, and contains new results on countable elementary free groups. Applications to cryptography include overviews of techniques based on representations of p-groups and of non-commutative group actions. Further applications of finitely generated groups to topology and artificial intelligence complete the volume. All in all, leading experts provide up-to-date overviews and current trends in combinatorial group theory and its connections to cryptography and other areas.
Author: A. Manning
Publisher: Springer
ISBN: 3540375252
Category : Mathematics
Languages : en
Pages : 418
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Author: L.H. Hodgkin
Publisher: Springer
ISBN: 3540380264
Category : Mathematics
Languages : en
Pages : 301
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Author: R. A. Bryce
Publisher: Springer
ISBN: 3540374280
Category : Mathematics
Languages : en
Pages : 156
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Book Description
