A minimal poset resolution of stable ideals (Q2895433)

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scientific article; zbMATH DE number 6052210
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A minimal poset resolution of stable ideals
scientific article; zbMATH DE number 6052210

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    2 July 2012
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    monomial ideal
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    minimal poset resolution
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    regular CW complex
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    CW poset
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    shellability
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    math.AC
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    A minimal poset resolution of stable ideals (English)
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    From the abstract: We give a brief survey of the various topological and combinatorial techniques which have been used to construct the minimal free resolution of a stable monomial ideal in a polynomial ring over a field. The new results appearing in this paper describe a connection between certain topological and combinatorial methods for the description of said minimal resolutions. In particular, we construct a minimal poset resolution of an arbitrary stable monomial ideal by using a poset of Eliahou-Kervaire admissible symbols associated to a stable ideal. (\dots) We exhibit a regular CW-complex which supports this resolution.NEWLINENEWLINEFor the entire collection see [Zbl 1237.13005].
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