Normally torsion-free lexsegment ideals

Mathematics – Commutative Algebra

Scientific paper

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Scientific paper

In this paper we characterize all the lexsegment ideals which are normally
torsion-free. Our characterization is given in terms of the ends of the
lexsegment. We also prove that the property of being normally torsion-free is
equivalent to the property of the depth function of being constant.

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