A presentation of the dual symmetric inverse monoid

David Easdown; James East; D. G. Fitzgerald

A presentation of the dual symmetric inverse monoid

David Easdown
, James East
, D. G. Fitzgerald

School of Computer, Data & Mathematical Sciences

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

18 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	357-374
Number of pages	20
Journal	International Journal of Algebra and Computation
Volume	18
Issue number	2
Publication status	Published - 2008

Keywords

isomorphisms (mathematics)
symmetry (mathematics

Cite this

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

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

KW - isomorphisms (mathematics)

KW - symmetry (mathematics

UR - http://handle.uws.edu.au:8081/1959.7/550666

M3 - Article

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VL - 18

SP - 357

EP - 374

JO - International Journal of Algebra and Computation

JF - International Journal of Algebra and Computation

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A presentation of the dual symmetric inverse monoid

Abstract

Keywords

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