SEMIGROUPS WHOSE IDEMPOTENTS FORM A SUBSEMIGROUP

• Type: Article in International Scientific Journal
• Date: 1992

Authors

ALMEIDA, J (Author) FCUP; PIN, JE (Author) Other; WEIL, P (Author) Other

Journal

Title: Mathematical Proceedings of the Cambridge Philosophical Society

Vol. 111

Pages: 241-253

ISSN: 0305-0041

Publisher: Cambridge University Press

Indexing

ISI Web of Knowledge - 21 Citations

Scopus - 18 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-001-PT7

DOI: 10.1017/S0305004100075332

Abstract (EN): We prove that every semigroup S in which the idempotents form a subsemigroup has an E-unitary cover with the same property. Furthermore, if S is E-dense or orthodox, then its cover can be chosen with the same property. Then we describe the structure of E-unitary dense semigroups. Our results generalize Fountain's results on semigroups in which the idempotents commute, and are analogous to those of Birget, Margolis and Rhodes, and of Jones and Szendrei on finite E-semigroups.

Language: English

Type (Professor's evaluation): Scientific