Products of sequences from finite regular semigroups with idempotent products

Abstract

A semigroup is an ordered pair (S,*) consisting of a non-empty set S and an associative binary operation * on S. An element e of a semigroup (S,*) is idempotent if e*e=e. An element z of a semigroup (S,*) is a zero element of S if ∀a ∈ S, a*z = z and z * a = . An element a o semigroup (S,*) is said to be regular if for some element x of S, a*x*a = a. A semigroup S is regular if every element of S is regular.

In this paper, we find the smallest integer er(n) [er, 0(n)] of elements in S contains a consecutive subsequence whose product is an idempotent element.

Location

UPLB Main Library Special Collections Section (USCS)

College

College of Arts and Sciences (CAS)

Language

English

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