Criterions for Shellable Multicomplexes

Details Criterions for Shellable Multicomplexes Criterions for Shellable Multicomplexes

2005-05-30

arxiv.org/abs/math/0505655v1

Mathematics

Commutative Algebra

10 pages

Scientific paper

After [J.Herzog, D.Popescu, Finite filtrations of modules and shellable multicomplexes, Preprint IMAR no 4/2005, Bucharest, 2005], the shellability of multicomplexes $\Gamma$ is given in terms of some special faces of $\Gamma$ 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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