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Normally Torsion-free Lexsegment Ideals
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作者 Anda Olteanu 《Algebra Colloquium》 SCIE CSCD 2015年第1期23-34,共12页
In this paper we characterize all the lexsegment ideals which are normally torsion-free. This will provide a large class of normally torsion-free monomial ideals which are not square-free. Our characterization is give... In this paper we characterize all the lexsegment ideals which are normally torsion-free. This will provide a large class of normally torsion-free monomial ideals which are not square-free. Our characterization is given in terms of the ends of the lexsegment. We also prove that, for lexsegment ideals, the property being normally torsion-free is equivalent to the property of the depth function being constant. 展开更多
关键词 normally torsion-free ideal monomial ideals lexsegment ideals associatedprimes
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