On semigroup presentations and efficiency

Ayik H., KUYUCU F., VATANSEVER B.

SEMIGROUP FORUM, vol.65, no.3, pp.329-335, 2002 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 65 Issue: 3
  • Publication Date: 2002
  • Doi Number: 10.1007/s002330010142
  • Journal Name: SEMIGROUP FORUM
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.329-335
  • Çukurova University Affiliated: Yes

Abstract

The purpose of this paper is twofold. First we determine some forms of the relations in a finite semigroup presentation with zero, deficiency which does or does not define a group. Moreover, we conclude that a finite Rees matrix semigroup M [G; I, Lambda; P] is efficient when G is efficient and the index sets I, Lambda are finite.