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After [4] the shellability of multicomplexes Γ is given in terms of some special faces of Γ called facets. Here we give a criterion for the shellability in terms of maximal facets. Multigraded pretty clean filtration is the algebraic counterpart of a shellable multicomplex. We give also a criterion for the existence of a multigraded pretty clean filtration.
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ژورنال
عنوان ژورنال: Časopis pro pěstování matematiky a fysiky
سال: 1950
ISSN: 1802-114X
DOI: 10.21136/cpmf.1950.122660