Combinatorial results for certain semigroups of partial isometries of a finite chain

F. Al-Kharousi; R. Kehinde; A. Umar

Combinatorial results for certain semigroups of partial isometries of a finite chain

F. Al-Kharousi, R. Kehinde, A. Umar

Mathematics

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

12 Citations (Scopus)

Abstract

Let In be the symmetric inverse semigroup on X_n = {1,2,..., n} under composition of maps and let DP_n and ODP_n be its subsemigroups of partial isometries and of order-preserving partial isometries of X_n, respectively. In this paper we investigate the cardinalities of some equivalences on DP_n and ODP_n which lead naturally to obtaining the orders of these semigroups.

Original language	English
Pages (from-to)	365-375
Number of pages	11
Journal	Australasian Journal of Combinatorics
Volume	58
Issue number	3
Publication status	Published - 2014

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics

Cite this

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AU - Kehinde, R.

AU - Umar, A.

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N2 - Let In be the symmetric inverse semigroup on Xn = {1,2,..., n} under composition of maps and let DPn and ODPn be its subsemigroups of partial isometries and of order-preserving partial isometries of Xn, respectively. In this paper we investigate the cardinalities of some equivalences on DPn and ODPn which lead naturally to obtaining the orders of these semigroups.

AB - Let In be the symmetric inverse semigroup on Xn = {1,2,..., n} under composition of maps and let DPn and ODPn be its subsemigroups of partial isometries and of order-preserving partial isometries of Xn, respectively. In this paper we investigate the cardinalities of some equivalences on DPn and ODPn which lead naturally to obtaining the orders of these semigroups.

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IS - 3

ER -

Combinatorial results for certain semigroups of partial isometries of a finite chain

Abstract

ASJC Scopus subject areas

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