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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2017, Issue 1(30), Pages 68–72
(Mi pfmt490)
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This article is cited in 3 scientific papers (total in 3 papers)
MATHEMATICS
On nonsemiassociativity of polyadic operation $\eta_{s, \sigma, k}$
A. D. Rusakou F. Scorina Gomel State University
Abstract:
Sufficient conditions of nonsemiassociativity of a polyadic operation $\eta_{s, \sigma, k}$ which is determined on a Cartesian power $A^k$ of $n$-ary $\langle A,\eta\rangle$ semigroup with substitution $\sigma$ of a range $\{1,\dots,k\}$ and $n$-ary operation $\eta$ are found.
Keywords:
polyadic operation, groupoid, semigroup, semiassociativity, neutral sequence.
Received: 09.02.2017
Citation:
A. D. Rusakou, “On nonsemiassociativity of polyadic operation $\eta_{s, \sigma, k}$”, PFMT, 2017, no. 1(30), 68–72
Linking options:
https://www.mathnet.ru/eng/pfmt490 https://www.mathnet.ru/eng/pfmt/y2017/i1/p68
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Abstract page: | 107 | Full-text PDF : | 38 | References: | 40 |
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