The monomial conjecture and order ideals
β Scribed by Dutta, S.P.
- Book ID
- 120287085
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 184 KB
- Volume
- 383
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
## Abstract In analogy to the skeletons of a simplicial complex and their StanleyβReisner ideals we introduce the skeletons of an arbitrary monomial ideal __I__ β __S__ = __K__ [__x__~1~, β¦, __x~n~__ ]. This allows us to compute the depth of __S__ /__I__ in terms of its skeleton ideals. We apply th
Monomial ideals which are generic with respect to either their generators or irreducible components have minimal free resolutions encoded by simplicial complexes. There are numerous equivalent ways to say that a monomial ideal is generic or cogeneric. For a generic monomial ideal, the associated pri