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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2020, Issue 3(44), Pages 55–60
(Mi pfmt728)
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This article is cited in 1 scientific paper (total in 1 paper)
MATHEMATICS
On skew elements in polyadic groups of special form defined by cyclic substitution
A. M. Gal'mak Mogilev State University of Food Technologies
Abstract:
The article goes on with a study of skew elements in polyadic groups of special form defined by cyclic substitution, that is, in
polyadic groups with l-ary operation ηs,σ,k that is called polyadic operation of special form and is defined on Cartesian power Ak of n-ary group ⟨A,η⟩ by cyclic substitution σ∈Sk satisfying the condition σl=σ, and n-ary operation η. As corollaries the
results for polyadic groups were obtained. These polyadic groups are of special form with l-ary operation ηs,σ,k in which σ is a cycle such that its length devides l−1, in particular, σ may be cycle of the form (12…k).
Keywords:
polyadic operation, n-ary group, skew element, substitution.
Received: 14.05.2020
Citation:
A. M. Gal'mak, “On skew elements in polyadic groups of special form defined by cyclic substitution”, PFMT, 2020, no. 3(44), 55–60
Linking options:
https://www.mathnet.ru/eng/pfmt728 https://www.mathnet.ru/eng/pfmt/y2020/i3/p55
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Abstract page: | 91 | Full-text PDF : | 30 | References: | 25 |
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