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Sonlu zincir üzerindeki tam daralma dönüşümlerinin bazı alt yarıgruplarının rankları
Author(s) -
Kemal TOKER
Publication year - 2020
Publication title -
balıkesir üniversitesi fen bilimleri enstitüsü dergisi
Language(s) - English
Resource type - Journals
eISSN - 2536-5142
pISSN - 1301-7985
DOI - 10.25092/baunfbed.707344
Subject(s) - semigroup , mathematics , combinatorics , order (exchange) , contraction (grammar) , discrete mathematics , medicine , finance , economics
Let Z^+ denotes the set of all positive integers. Let X_n={1,2,...,n} be the finite chain for n \in Z^+ and let T_n be the full transformation semigroup on . Also let OCT_n and ORCT_n  be the semigroup of order-preserving full contraction mappings, and the semigroup of order-preserving or order-reversing full contraction mappings on X_n, respectively. It is well-known that  OCT_n and  ORCT_n are subsemigroups of T_n. In this paper we obtain ranks of the semigroups OCT_n and ORCT_n.

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