On the ranks of certain ideals of monotone contractions
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.49, sa.6, ss.1988-1996, 2020 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 49 Sayı: 6
- Basım Tarihi: 2020
- Doi Numarası: 10.15672/hujms.604715
- Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.1988-1996
- Anahtar Kelimeler: isotone/antitone/monotone transformation, contraction, rank
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Çukurova Üniversitesi Adresli: Evet
Özet
Let T-n be the (full) transformation semigroup, and let OCTn and ORCTn be its subsemigroups of isotone contractions and of monotone contractions on a finite chain X-n = {1, ..., n} under its natural order, respectively. In this study, we obtain the ranks of the ideals OCTn,r = {alpha is an element of OCTn : vertical bar im (alpha)vertical bar <= r} and ORCTn,r =vertical bar im (alpha)vertical bar <= r} for 1 <= r <= n - 1.