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On the numbers of generators of monomial ideals

✍ Scribed by Ali Jaballah

Book ID: 112508130
Publisher: Springer
Year: 1992
Tongue: English
Weight: 146 KB
Volume: 58
Category: Article
ISSN: 0003-889X
DOI: 10.1007/bf01292921

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## 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__ ⊂ __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