TY - JOUR
T1 - Combinatorial results for certain semigroups of order-preserving full contraction mappings of a finite chain
AU - Adeshola, A. D.
AU - Umar, A.
N1 - Publisher Copyright:
© 2018 Charles Babbage Research Centre. All rights reserved.
PY - 2018/8
Y1 - 2018/8
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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M3 - Article
AN - SCOPUS:85052786398
SN - 0835-3026
VL - 106
SP - 37
EP - 49
JO - Journal of Combinatorial Mathematics and Combinatorial Computing
JF - Journal of Combinatorial Mathematics and Combinatorial Computing
ER -