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JOURNALS // Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics) // Archive

PFMT, 2017 Issue 1(30), Pages 68–72 (Mi pfmt490)

This article is cited 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.

UDC: 512.548

Received: 09.02.2017



© Steklov Math. Inst. of RAS, 2024