The Computation of the M\"obius Function of a M\"obius Category
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obiuscomputationcategoryfunctionarisescombinatorialexamplefinite
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The paper presents some results for reducing the computation of the M\"obius functon of a M\"obius category that arises from a combinatorial inverse semigroup to that of locally finite partially ordered sets. We illustrate the computation of the M\"obius function with an example.
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