Semigroups with zero whose idempotents form a subsemigroup

GMS Gomes, John Mackintosh Howie

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

The structure of a categorical, E*-dense, E*-unitary E-semigroup S is elucidated in terms of a 'B-quiver', where B is a primitive inverse semigroup. In the case where S is strongly categorical, B is a Brandt semigroup. A covering theorem is also proved, to the effect that every categorical E*-dense E-semigroup has a cover which is a categorical, E*-dense, E*-unitary E-semigroup.

Original languageEnglish
Pages (from-to)265-281
Number of pages17
JournalProceedings of the Royal Society of Edinburgh, Section A: Mathematics
Volume128
Issue number2
DOIs
Publication statusPublished - Jan 1998

Keywords

  • INVERSE-SEMIGROUPS
  • SEMILATTICES
  • CONGRUENCES

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