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JOURNALS // Chebyshevskii Sbornik // Archive
Chebyshevskii Sb., 2013 Volume 14, Issue 4, Pages 131–137 (Mi cheb310)
Representations of abelian semicyclic $n$-ary groups

V. M. Kusov

Volgograd State Socio-Pedagogical University

Abstract: In this paper we study the relationship between representations of abelian groups and representations of abelian $n$-ary groups. Based on this relationship, described all the representations of abelian semicyclic $n$-ary groups.

Keywords: $n$-ary group, homonorphism, representation.

UDC: 501.548

Received: 14.09.2013


© Steklov Math. Inst. of RAS, 2024