On the Combinatorial Inverse Monoid IO3

Authors
Schwab, Emil Daniel
Efren, Romero
Description
In this paper we have compute the Mobius category and the Mobius function of the combinatorial inverse monoid IO3 of all order preserving partial bijections on the set M3={1,2,3}. This category is the reduced standard division category CF(IO3) relative to an idempotent transversal F of the D-classes of IO3.
Comment: 16 pages,exposed on 1st "European Conference on Computer Sciences & Applications" - XA2006, Timisoara, Romania
Keywords
Mathematics - Rings and Algebras