A Presentation of the Dual Symmetric Inverse Monoid

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

• Type: Journal
• Year: 2008
• Where: IJAC
• Authors: David Easdown, James East, D. G. Fitzgerald
• Keywords: Dual Symmetric Inverse, IJAC 2008, Monoid, Monoid Presentation