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A presentation of the dual symmetric inverse monoid

Citation

Easdown, D and East, J and FitzGerald, DG, A presentation of the dual symmetric inverse monoid, International Journal of Algebra and Computation, 18, (2) pp. 357-374. ISSN 0218-1967 (2008) [Refereed Article]


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Copyright Statement

Copyright 2008 World Scientific Publishing Company

Official URL: http://www.worldscinet.com

DOI: doi:10.1142/S0218196708004470

Abstract

The dual symmetric inverse monoid is the inverse monoid of all isomorphisms between quotients of an n-set. We give a monoid presentation of and, along the way, establish criteria for a monoid to be inverse when it is generated by completely regular elements.

Item Details

Item Type:Refereed Article
Keywords:Dual symmetric inverse monoid; monoid presentation; completely regular elements
Research Division:Mathematical Sciences
Research Group:Pure Mathematics
Research Field:Group Theory and Generalisations
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
UTAS Author:FitzGerald, DG (Dr Des FitzGerald)
ID Code:52299
Year Published:2008
Web of Science® Times Cited:16
Deposited By:Mathematics
Deposited On:2008-06-17
Last Modified:2015-01-20
Downloads:0

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