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

By Nguyên Công Minh, Ngô Viêt Trung. 2009

59 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/9c1ce440ddbc0d8415c4e55d733514dd003fd3e4

How researchers see this paper

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In Algebra and Number Theory

1. Naoki Terai
2. Ngô Viêt Trung
3. Huy Tài Hà

In Discrete Mathematics and Combinatorics

1. Naoki Terai
2. Ngô Viêt Trung

In Geometry and Topology

1. Naoki Terai
2. Ngô Viêt Trung

Citations in the corpus

• Cohen-Macaulayness of large powers of Stanley-Reisner ideals (2010, background): “Combinatorial criteria for the Cohen-Macaulayness of I (2) ∆ can be found in [15] for dim∆ = 1 and in [16] for arbitrary dimension.”