搜索结果: 1-7 共查到“数学 monomial ideals”相关记录7条 . 查询时间(0 秒)
Lyubeznik numbers of monomial ideals
Lyubeznik numbers monomial ideals Commutative Algebra
2011/9/21
Abstract: We study Bass numbers of local cohomology modules supported on squarefree monomial ideals paying special attention to Lyubeznik numbers. We build a dictionary between local cohomology module...
Cohen-Macaulayness of generically complete intersection monomial ideals
Cohen-Macaulay generically complete intersection monomial ideals Commutative Algebra
2011/9/20
Abstract: In this paper we discuss the problem of characterizing the Cohen-Macaulay property of certain families of monomial ideals with fixed radical. More precisely, we consider generically complete...
Depth and minimal number of generators of square free monomial ideals
Monomial Ideals Depth Stanley depth Commutative Algebra
2011/9/5
Abstract: Let $I$ be an ideal of a polynomial algebra $S$ over a field generated by square free monomials of degree $\geq d$. If $I$ contains more monomials of degree $d$ than $(d+1)/d$ of the total n...
Arithmetical rank of squarefree monomial ideals generated by five elements or with arithmetic degree four
monomial ideal, arithmetical rank, projective dimension
2011/8/24
Abstract: Let $I$ be a squarefree monomial ideal of a polynomial ring $S$. In this paper, we prove that the arithmetical rank of $I$ is equal to the projective dimension of $S/I$ when one of the follo...
Normality of Monomial Ideals
Normality Monomial Ideals
2010/11/30
Given the monomial ideal I = (x 1 1 , . . . , x n n ) K[x1, . . . , xn] where i are positive integers and K a field and let J be the integral closure of I . It is a challenging problem to translat...
Finite atomic lattices and resolutions of monomial ideals
Finite atomic lattices resolutions of monomial ideals
2010/12/1
In this paper we primarily study monomial ideals and their minimal free resolutions by studying their associated LCM lattices.
For a reduced monomial ideal B in R=k[X_1,...,X_n], we write H^i_B(R) as the union of {Ext^i(R/B^[d],R)}_d, where {B^[d]}_d are the "Frobenius powers of B". We describe H^i_B(R)_p, for every p in Z^n...