Rank properties of certain semigroups

MİNİSKER M.

Semigroup Forum, cilt.78, sa.1, ss.99-105, 2009 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 78 Sayı: 1
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1007/s00233-008-9089-x
  • Dergi Adı: Semigroup Forum
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.99-105
  • Anahtar Kelimeler: Free semilattice, Large rank, Small rank
  • Hatay Mustafa Kemal Üniversitesi Adresli: Evet

Özet

In this paper we consider certain ranks of some semigroups. These ranks are r 1(S),r 2(S),r 3(S),r 4(S) and r 5(S) as defined below. We have r 1 r 2 r 3 r 4 r 5. The semigroups are CL n ,CL m ×CL n ,Z n and SL n . Here CL n is a chain with n elements, Z n is the zero semigroup on n elements and SL n is the free semilattice generated by n elements and having 2 n -1 elements. We find many of the ranks for these classes of semigroups. © 2008 Springer Science+Business Media, LLC.