Presentations for subsemigroups of PDn

Abdullahi Umar

doi:10.21136/CMJ.2018.0343-17

Presentations for subsemigroups of PD_n

Abdullahi Umar

Mathematics

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

2 Scopus citations

Abstract

Let [n] = {1,…, n} be an n-chain. We give presentations for the following transformation semigroups: the semigroup of full order-decreasing mappings of [n], the semigroup of partial one-to-one order-decreasing mappings of [n], the semigroup of full order-preserving and order-decreasing mappings of [n], the semigroup of partial one-to-one order-preserving and order-decreasing mappings of [n], and the semigroup of partial order-preserving and order-decreasing mappings of [n].

Original language	British English
Pages (from-to)	417-426
Number of pages	10
Journal	Czechoslovak Mathematical Journal
Volume	69
Issue number	2
DOIs	https://doi.org/10.21136/CMJ.2018.0343-17
State	Published - 1 Jun 2019

Keywords

order-decreasing mapping
order-preserving mapping
presentation
transformation semigroups

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abstract = "Let [n] = \{1,…, n\} be an n-chain. We give presentations for the following transformation semigroups: the semigroup of full order-decreasing mappings of [n], the semigroup of partial one-to-one order-decreasing mappings of [n], the semigroup of full order-preserving and order-decreasing mappings of [n], the semigroup of partial one-to-one order-preserving and order-decreasing mappings of [n], and the semigroup of partial order-preserving and order-decreasing mappings of [n].",

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KW - order-preserving mapping

KW - presentation

KW - transformation semigroups

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