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A presentation of the dual symmetric inverse monoid


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

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DOI: doi:10.1142/S0218196708004470


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:17
Deposited By:Mathematics
Deposited On:2008-06-17
Last Modified:2015-01-20

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