A presentation of the singular part of the symmetric inverse monoid

James East

doi:10.1080/00927870500542689

A presentation of the singular part of the symmetric inverse monoid

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Abstract

We give a semigroup presentation of the singular part of the symmetric inverse monoid on a finite set. Along the way, we derive a monoid presentation of the monoid of all order-preserving injective partial transformations on a finite chain, which differs from the presentation discovered by Fernandes.

Original language	English
Pages (from-to)	1671-1689
Number of pages	19
Journal	Communications in Algebra
Volume	34
Issue number	5
DOIs	https://doi.org/10.1080/00927870500542689
Publication status	Published - 2006

Keywords

monoids
presentation

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KW - presentation

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A presentation of the singular part of the symmetric inverse monoid

Abstract

Keywords

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