Rank and status in semigroup theory

A Cherubini, J M Howie, B Piochi

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

For each generating set A of a finite semigroup S the integer Delta(A) is defined as the least n for which every element of S is expressible as a product of at most n elements of A. The status of S is defined as the least value of \A\Delta(A) among generating sets of A. Some general bounds are obtained, and the notion is explored in more detail for certain well understood classes of semigroups.

Original languageEnglish
Pages (from-to)2783-2801
Number of pages19
JournalCommunications in Algebra
Volume32
DOIs
Publication statusPublished - 2004

Keywords

  • finite semigroup
  • rank
  • status
  • FINITE-GROUPS
  • THIN BASES

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