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arxiv: 1003.2149 · v1 · submitted 2010-03-10 · 🧮 math.AC

Cohen-Macaulayness of powers of two-dimensional squarefree monomial ideals

classification 🧮 math.AC
keywords idealscohen-macaulaynessmonomialpowerssquarefreetwo-dimensionalassociatedcharacterizations
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Two-dimensional squarefree monomial ideals can be seen as the Stanley-Reisner ideals of graphs. The main results of this paper are combinatorial characterizations for the Cohen-Macaulayness of ordinary and symbolic powers of such an ideal in terms of the associated graph.

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