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

  • 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
  • Anahtar Kelimeler: Chains, Efficiency, Embedding, Semigroup presentations
  • Hatay Mustafa Kemal Üniversitesi Adresli: Hayır

Özet

In 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 S∪SLn, where SL n is the free semilattice of rank n.