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arxiv: 1010.1473 · v1 · pith:OJNDVKKAnew · submitted 2010-10-07 · 🧮 math.AC

Normally torsion-free lexsegment ideals

classification 🧮 math.AC
keywords lexsegmentnormallytorsion-freeidealspropertycharacterizationcharacterizeconstant
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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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