Algebraic Properties of Universal Squarefree Lexsegment Ideals  

Algebraic Properties of Universal Squarefree Lexsegment Ideals

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作  者:Marilena Crupi Monica La Barbiera 

机构地区:[1]University of Messina, Department of Mathematics and Computer Science Viale Ferdinando Stagno d'Alcontres, 31, 98166 Messina, Italy

出  处:《Algebra Colloquium》2016年第2期293-302,共10页代数集刊(英文版)

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.

关 键 词:monomial ideals squarefree lexicographic ideals minimal resolutions s-sequences standard invariants 

分 类 号:O24[理学—计算数学] O151.21[理学—数学]

 

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