Minimal presentations and embedding into inefficient semigroups
Algebra Colloquium, cilt.12, sa.1, ss.59-65, 2005 (SCI-Expanded, Scopus)
- 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.