Towards the critical problem: On the coalgebraic relation between sets and multisets (Q685583)

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scientific article; zbMATH DE number 417454
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Towards the critical problem: On the coalgebraic relation between sets and multisets
scientific article; zbMATH DE number 417454

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    Towards the critical problem: On the coalgebraic relation between sets and multisets (English)
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    12 December 1994
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    The paper deals with the problem of combinatorics which is the discovery of the relation between sets and multisets. The author defines a coalgebra of multisets in terms of the Boolean incidence Hopf algebra which is a reduced incidence coalgebra with respect to a coarsest equivalence. The introduced coalgebra and its properties help in a new understanding of the relation between sets and multisets.
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    coalgebra of multisets
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    Boolean incidence Hopf algebra
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    reduced incidence coalgebra
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    equivalence
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