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Algebraic Properties of Universal Squarefree Lexsegment Ideals

Algebraic Properties of Universal Squarefree Lexsegment Ideals
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摘要 Let K be a field and let A = K[X1,...,Xn] be the polynomial ring in X1, ..., Xn with coefficients in K. In this paper we study the universal squarefree lexsegment ideals, and put our attention on their combinatorics computing some invariants. Moreover, we study the link between such a special class of squarefree lexsegment ideals and the so-called s-sequences. Let K be a field and let A = K[X1,...,Xn] be the polynomial ring in X1, ..., Xn with coefficients in K. In this paper we study the universal squarefree lexsegment ideals, and put our attention on their combinatorics computing some invariants. Moreover, we study the link between such a special class of squarefree lexsegment ideals and the so-called s-sequences.
机构地区 University of Messina
出处 《Algebra Colloquium》 SCIE CSCD 2016年第2期293-302,共10页 代数集刊(英文版)
关键词 monomial ideals squarefree lexicographic ideals minimal resolutions s-sequences standard invariants monomial ideals, squarefree lexicographic ideals, minimal resolutions, s-sequences, standard invariants
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