The article introduces the notion of a non-associativity degree for a triple of elements of a commutative idempotent groupoid and the notion of the groupoid non-associativity degree. For groupoids with a finite non-associativity degree, a symmetric idempotent ternary operation was constructed as a continuation of a binary operation. In this paper, the groupoid of ordered partitions of a finite set with an aggregated sum subjected to systematic investigation for the first time. Some general results on the degree of non-associativity are obtained and the results of numerical analysis are presented.
Translated title of the contributionON THE DEGREE OF NON-ASSOCIATIVITY OF AN IDEMPOTENT COMMUTATIVE GROUPOID
Original languageRussian
Pages (from-to)17-23
JournalЕСТЕСТВЕННЫЕ И ТЕХНИЧЕСКИЕ НАУКИ
Issue number3
StatePublished - 30 Mar 2021

    Scopus subject areas

  • Discrete Mathematics and Combinatorics

ID: 75654016