On the Combinatorial Inverse Monoid IO3
Rings and Algebras
2009-04-28 v1
Abstract
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.
Cite
@article{arxiv.0904.4196,
title = {On the Combinatorial Inverse Monoid IO3},
author = {Emil Daniel Schwab and Romero Efren},
journal= {arXiv preprint arXiv:0904.4196},
year = {2009}
}
Comments
16 pages,exposed on 1st "European Conference on Computer Sciences & Applications" - XA2006, Timisoara, Romania