Combinatorial results for certain semigroups of order-preserving full contraction mappings of a finite chain

A. D. Adeshola; A. Umar

Combinatorial results for certain semigroups of order-preserving full contraction mappings of a finite chain

A. D. Adeshola
, A. Umar

Mathematics

Kwara State University

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

Let T_n be the full symmetric semigroup on X_n = {1,2,... ,n} and let OCT_n and ORCT_n be its subsemigroups of order-preserving and order-preserving or order-reversing full contraction mappings of X_n, respectively. In this paper we investigate the cardinalities of some equivalences on OCT _n and ORCT_n which lead naturally to obtaining the orders of these subsemigroups.

Original language	British English
Pages (from-to)	37-49
Number of pages	13
Journal	Journal of Combinatorial Mathematics and Combinatorial Computing
Volume	106
State	Published - Aug 2018

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abstract = "Let Tn be the full symmetric semigroup on Xn = \{1,2,... ,n\} and let OCTn and ORCTn be its subsemigroups of order-preserving and order-preserving or order-reversing full contraction mappings of Xn, respectively. In this paper we investigate the cardinalities of some equivalences on OCT n and ORCTn which lead naturally to obtaining the orders of these subsemigroups.",

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AU - Adeshola, A. D.

AU - Umar, A.

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N2 - Let Tn be the full symmetric semigroup on Xn = {1,2,... ,n} and let OCTn and ORCTn be its subsemigroups of order-preserving and order-preserving or order-reversing full contraction mappings of Xn, respectively. In this paper we investigate the cardinalities of some equivalences on OCT n and ORCTn which lead naturally to obtaining the orders of these subsemigroups.

AB - Let Tn be the full symmetric semigroup on Xn = {1,2,... ,n} and let OCTn and ORCTn be its subsemigroups of order-preserving and order-preserving or order-reversing full contraction mappings of Xn, respectively. In this paper we investigate the cardinalities of some equivalences on OCT n and ORCTn which lead naturally to obtaining the orders of these subsemigroups.

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SN - 0835-3026

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JO - Journal of Combinatorial Mathematics and Combinatorial Computing

JF - Journal of Combinatorial Mathematics and Combinatorial Computing

ER -

Combinatorial results for certain semigroups of order-preserving full contraction mappings of a finite chain

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