Sequences with idempotent products from finite regular semigroups

Abstract

We find the smallest integer α(n) such that for every regular semigroup S of order n, every sequence of length α(n) of elements of S contains a consecutive subsequence whose product is an α-element, where α= 'idempotent', 'core' and 'subgroup and core'. For arbitrary semigroups of order n, we also find α(n) where α= 'regular', 'group', 'core', 'regular and core' and 'subgroup and core'. © 2000 Elsevier Science B.V. All rights reserved.

Source or Periodical Title

Discrete Mathematics

ISSN

0012365X

Page

159-170

Document Type

Article

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