GENERATING SETS OF STRICTLY ORDER-PRESERVING TRANSFORMATION SEMIGROUPS ON A FINITE SET

AYIK, HAYRULLAH; BUGAY, LEYLA

doi:10.4134/bkms.2014.51.4.1055

GENERATING SETS OF STRICTLY ORDER-PRESERVING TRANSFORMATION SEMIGROUPS ON A FINITE SET

Atıf İçin Kopyala

AYIK H., BUGAY L.

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, cilt.51, sa.4, ss.1055-1062, 2014 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 51 Sayı: 4
Basım Tarihi: 2014
Doi Numarası: 10.4134/bkms.2014.51.4.1055
Dergi Adı: BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.1055-1062
Çukurova Üniversitesi Adresli: Evet

Özet

Let O-n and POn, denote the order-preserving transformation and the partial order-preserving transformation semigroups on the set X-n = {1,...,n}, respectively. Then the strictly partial order-preserving transformation semigroup SPOn on the set X-n, under its natural or der, is defined by SPOn = POn\O-n In this paper we find necessary and sufficient conditions for any subset of SPO(n,r) to be a (minimal) generating set of SPO(n,r) for 2 <= r <= n - 1.