Abstract
We give a criterion for a monomial ideal in two variables to be complete (i.e. integrally closed) in terms of the exponents of the generators. This gives a positive answer to a question raised recently by P. Gimenez, A. Simis, W. Vasconcelos and R. Villarreal, On complete monomial ideals, J. Commut. Algebra, to appear, arXiv:1310.7793.
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