PROPERTIES OF M-GROUPOIDS RELATED TO (M,N)-VARIETIES

Lidija Gorachinova-Ilieva
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Lidija Gorachinova-Ilieva: University of Skopje, Republic of North Macedonia.

UTMS Journal of Economics, 2025, vol. 16, issue 2, 237-240

Abstract: An algebra (?, ?) is said to be an m-groupoid if ? consists of a single m–ary operation. In this paper, the results of the research on such algebraic structures are presented, regarding some special classes of m-groupoids. The main ones are closely connected to varieties with the property (m,n). Every member of an (m,n)-variety of mgroupoids is an m-quasigroup, for m

Keywords: equational class; free algebra; m-ary operation; groupoid; quasigroup (search for similar items in EconPapers)
JEL-codes: C30 C65 (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:ris:utmsje:022228

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