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The monomial conjecture and order ideals

✍ 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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πŸ“œ SIMILAR VOLUMES


Monomial Cut Ideals
✍ Olteanu, Anda πŸ“‚ Article πŸ“… 2013 πŸ› Taylor and Francis Group 🌐 English βš– 186 KB
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

Generic and Cogeneric Monomial Ideals
✍ Ezra Miller; Bernd Sturmfels; Kohji Yanagawa πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 346 KB

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