Minimal presentations and embedding into inefficient semigroups


Ayik H. , MINISKER M., VATANSEVER B.

ALGEBRA COLLOQUIUM, vol.12, no.1, pp.59-65, 2005 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 12 Issue: 1
  • Publication Date: 2005
  • Doi Number: 10.1142/s1005386705000064
  • Title of Journal : ALGEBRA COLLOQUIUM
  • Page Numbers: pp.59-65

Abstract

ln this paper, we show that CLn, the chain with n elements, is efficient and that the direct product CLm x CLn is inefficient. Moreover, we embed any finitely presented semigroup S into an inefficient semigroup, namely, the semigroup SUSLn, where SLn is the free semilattice of rank n.