On the Combinatorial Inverse Monoid IO3

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Authors
Schwab, Emil Daniel
Efren, Romero
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Abstract
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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
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