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math.AC2010
Cohen-Macaulayness of powers of two-dimensional squarefree monomial ideals
Nguyen Cong Minh, Ngo Viet Trung
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-Mac…
math.AC2010
Cohen-Macaulayness of monomial ideals and symbolic powers of Stanley-Reisner ideals
Nguyen Cong Minh, Ngo Viet Trung
We present criteria for the Cohen-Macaulayness of a monomial ideal in terms of its primary decomposition. These criteria allow us to use tools of graph theory and of linear program…