A PRESENTATION OF THE DUAL SYMMETRIC INVERSE MONOID-Reference-Cited by-同舟云学术

A PRESENTATION OF THE DUAL SYMMETRIC INVERSE MONOID

Published:2008-03 Issue:02 Volume:18 Page:357-374
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

EASDOWN DAVID¹,EAST JAMES²,FITZGERALD D. G.³

Affiliation:

1. School of Mathematics and Statistics, University of Sydney, New South Wales 2006, Australia

2. Department of Mathematics, La Trobe University, Victoria 3083, Australia

3. School of Mathematics and Physics, University of Tasmania, Private Bag 37, Hobart 7001, Australia

Abstract

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

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196708004470

Reference8 articles.

1. A presentation for the monoid of uniform block permutations

2. Dual symmetric inverse monoids and representation theory

3. Partition algebras

4. Inverse Semigroups

5. ON A NEW APPROACH TO THE DUAL SYMMETRIC INVERSE MONOID $\mathcal{I}_{X}^{\ast}$

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