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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika", 2012, Issue 6, Pages 30–34
(Mi vyurm103)
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Mathematics
Automorphisms of residue rings of integer rings of circular fields
A. V. Shponko South Ural State University
Abstract:
The authors research the structure of residue rings of integer rings of circular fields by analyzing their ring automorphisms. The connections between a special subgroup of the automorphism group and the system of the inserted subrings of the residue rings are found. Among the occurring subrings the authors found a very prospective one for further research as well as a multitude of its noninvertible elements for some nontrivial cases.
Keywords:
Abelian fields, circular fields, integer rings, residue rings, subrings, automorphisms.
Received: 13.07.2011
Citation:
A. V. Shponko, “Automorphisms of residue rings of integer rings of circular fields”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2012, no. 6, 30–34
Linking options:
https://www.mathnet.ru/eng/vyurm103 https://www.mathnet.ru/eng/vyurm/y2012/i6/p30
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Abstract page: | 102 | Full-text PDF : | 37 | References: | 28 |
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