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

14 Scopus citations

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	British English
Pages (from-to)	365-375
Number of pages	11
Journal	Australasian Journal of Combinatorics
Volume	58
Issue number	3
State	Published - 2014

Cite this

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title = "Combinatorial results for certain semigroups of partial isometries of a finite chain",

abstract = "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.",

author = "F. Al-Kharousi and R. Kehinde and A. Umar",

year = "2014",

language = "British English",

volume = "58",

pages = "365--375",

journal = "Australasian Journal of Combinatorics",

issn = "1034-4942",

publisher = "University of Queensland Press",

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T1 - Combinatorial results for certain semigroups of partial isometries of a finite chain

AU - Al-Kharousi, F.

AU - Kehinde, R.

AU - Umar, A.

PY - 2014

Y1 - 2014

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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M3 - Article

AN - SCOPUS:84892882743

SN - 1034-4942

VL - 58

SP - 365

EP - 375

JO - Australasian Journal of Combinatorics

JF - Australasian Journal of Combinatorics

IS - 3

ER -

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

Abstract

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