Generators and factorisations of transformation semigroups

PM Higgins, John Mackintosh Howie, Nikola Ruskuc

Research output: Contribution to journalArticlepeer-review

27 Citations (Scopus)

Abstract

If E is the set of idempotents and G the group of units within a full transformation semigroup F-X. then EG = GE = F-X, if X is finite. The question of identifying the subsemigroup EG = GE = < G boolean OR E > in the case where X is infinite leads to an investigation of interrelations among various naturally occurring subsemigroups of F-X. In the final section it is shown that precisely two additional elements mu, nu are needed in order that G boolean OR E boolean OR {mu, nu} should generate F-X.

Original languageEnglish
Pages (from-to)1355-1368
Number of pages15
JournalProceedings of the Royal Society of Edinburgh, Section A: Mathematics
Volume128
Issue number6
DOIs
Publication statusPublished - 1998

Keywords

  • NATURAL PARTIAL ORDER

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