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arXiv · 0904.4196

On the Combinatorial Inverse Monoid IO3

Emil Daniel Schwab·Romero Efren
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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.

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Emil Daniel Schwab, Romero Efren. 2009-04-27. On the Combinatorial Inverse Monoid IO3. https://arxiv.org/abs/0904.4196

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