Cohen-Macaulay properties of square-free monomial ideals
نویسنده
چکیده
In this paper we study simplicial complexes as higher dimensional graphs in order to produce algebraic statements about their facet ideals. We introduce a large class of square-free monomial ideals with Cohen-Macaulay quotients, and a criterion for the Cohen-Macaulayness of facet ideals of simplicial trees. Along the way, we generalize several concepts from graph theory to simplicial complexes.
منابع مشابه
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ورودعنوان ژورنال:
- J. Comb. Theory, Ser. A
دوره 109 شماره
صفحات -
تاریخ انتشار 2005