Minimal presentations and embedding into inefficient semigroups

Ayik H., MINISKER M., VATANSEVER B.

ALGEBRA COLLOQUIUM, cilt.12, sa.1, ss.59-65, 2005 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 1
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1142/s1005386705000064
  • Dergi Adı: ALGEBRA COLLOQUIUM
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.59-65
  • Çukurova Üniversitesi Adresli: Evet

Özet

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.