Defining relations for idempotent generators in finite partial transformation semigroups

James East

doi:10.1007/s00233-013-9512-9

Defining relations for idempotent generators in finite partial transformation semigroups

James East

School of Computer, Data & Mathematical Sciences

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

5 Citations (Scopus)

Abstract

We give a presentation for the semigroup of all singular partial transformations on a finite set, in terms of the generating set consisting of all idempotent partial transformations of corank 1.

Original language	English
Pages (from-to)	72-76
Number of pages	5
Journal	Semigroup Forum
Volume	89
Issue number	1
DOIs	https://doi.org/10.1007/s00233-013-9512-9
Publication status	Published - 2014

Keywords

idempotents
mathematics
semigroups

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10.1007/s00233-013-9512-9

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title = "Defining relations for idempotent generators in finite partial transformation semigroups",

abstract = "We give a presentation for the semigroup of all singular partial transformations on a finite set, in terms of the generating set consisting of all idempotent partial transformations of corank 1.",

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year = "2014",

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language = "English",

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N2 - We give a presentation for the semigroup of all singular partial transformations on a finite set, in terms of the generating set consisting of all idempotent partial transformations of corank 1.

AB - We give a presentation for the semigroup of all singular partial transformations on a finite set, in terms of the generating set consisting of all idempotent partial transformations of corank 1.

KW - idempotents

KW - mathematics

KW - semigroups

UR - http://handle.uws.edu.au:8081/1959.7/565855

U2 - 10.1007/s00233-013-9512-9

DO - 10.1007/s00233-013-9512-9

M3 - Article

SN - 0037-1912

VL - 89

SP - 72

EP - 76

JO - Semigroup Forum

JF - Semigroup Forum

IS - 1

ER -

Defining relations for idempotent generators in finite partial transformation semigroups

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Keywords

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