9
views
0
recommends
+1 Recommend
0 collections
0
shares
• Record: found
• Abstract: found
• Article: found
Is Open Access

# A Presentation for the Dual Symmetric Inverse Monoid

Preprint

Bookmark
There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

### Abstract

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

### Author and article information

###### Journal
0707.2439

Algebra