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Finite atomic lattices and resolutions of monomial ideals

✍ Scribed by Mapes, Sonja

Book ID
118734301
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
277 KB
Volume
379
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES

Skeletons of monomial ideals
Skeletons of monomial ideals
✍ JΓΌrgen Herzog; Ali Soleyman Jahan; Xinxian Zheng πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 105 KB

## Abstract In analogy to the skeletons of a simplicial complex and their Stanley–Reisner ideals we introduce the skeletons of an arbitrary monomial ideal __I__ βŠ‚ __S__ = __K__ [__x__~1~, …, __x~n~__ ]. This allows us to compute the depth of __S__ /__I__ in terms of its skeleton ideals. We apply th