A general approach for generating sets of certain subsemigroups of monotone maps

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Atıf İçin Kopyala

BUGAY L.

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, cilt.13, sa.7, 2020 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 13 Sayı: 7
• Basım Tarihi: 2020
• Doi Numarası: 10.1142/s1793557120501326
• Dergi Adı: ASIAN-EUROPEAN JOURNAL OF MATHEMATICS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
• Çukurova Üniversitesi Adresli: Evet

Özet

Let T-n and P-n be the monoids of all (full) transformations and of all partial transformations, on a finite chain X-n = {1,..., n} under its natural order, respectively. Moreover, let ODn,r (PODn,r) be the subsemigroup of T-n (P-n) consists of all monotone transformations (monotone partial transformations) with height less than or equal to r for 1 <= r <= n-1 (0 <= r <= n-1). In this paper, we develop a new and general approach to find a (minimal) generating set of ODn,r (PODn,r).