summary:Let $(R,\mathfrak m)$ be a Noetherian local ring and $M$ a finitely generated $R$-module. We say $M$ has maximal depth if there is an associated prime $\mathfrak p$ of $M$ such that depth $M=\dim R/\mathfrak p$. In this paper we study squarefree monomial ideals which have maximal depth. Edge ideals of cycle graphs, transversal polymatroidal ideals and high powers of connected bipartite graphs with this property are classified
A famous conjecture by R. Stanley relates the depth of a module, an algebraic invariant, with the so...
In this paper we prove a conjecture of Landweber and Stong [LS] that reduces the calculation of the ...
AbstractLet Q and Q′ be two monomial primary ideals of a polynomial algebra S over a field. We give ...
summary:Let $(R,\mathfrak m)$ be a Noetherian local ring and $M$ a finitely generated $R$-module. We...
AbstractIn this paper, we answer a question posed by Y.H. Shen. We prove that if I is an m-generated...
The depth of squarefree powers of a squarefree monomial ideal is introduced. Let $I$ be a squarefree...
AbstractLet I be an m-generated complete intersection monomial ideal in S=K[x1,…,xn]. We show that t...
AbstractWe study the limit and initial behavior of the numerical function f(k)=depthS/Ik. General pr...
We show that Stanley’s conjecture holds for any multigraded module M over S, with sdepth(M) = 0, whe...
on the occasion of their 70th birthdays Let I) J be two squarefree monomial ideals of a polynomial a...
Let $I$ be the edge ideal of a Cohen-Macaulay tree of dimension $d$ over a polynomial ring $S = \mat...
AbstractLet J⊂I be monomial ideals. We show that the Stanley depth of I/J can be computed in a finit...
In this article we describe an algorithm to compute the Stanley depth of I=J where I and J are monom...
In this thesis we classify all unmixed monomial ideals I of codimension 2 which are generically a co...
By a classical result of Brodmann, the function $\operatorname{depth} R/I^t$ is asymptotically a con...
A famous conjecture by R. Stanley relates the depth of a module, an algebraic invariant, with the so...
In this paper we prove a conjecture of Landweber and Stong [LS] that reduces the calculation of the ...
AbstractLet Q and Q′ be two monomial primary ideals of a polynomial algebra S over a field. We give ...
summary:Let $(R,\mathfrak m)$ be a Noetherian local ring and $M$ a finitely generated $R$-module. We...
AbstractIn this paper, we answer a question posed by Y.H. Shen. We prove that if I is an m-generated...
The depth of squarefree powers of a squarefree monomial ideal is introduced. Let $I$ be a squarefree...
AbstractLet I be an m-generated complete intersection monomial ideal in S=K[x1,…,xn]. We show that t...
AbstractWe study the limit and initial behavior of the numerical function f(k)=depthS/Ik. General pr...
We show that Stanley’s conjecture holds for any multigraded module M over S, with sdepth(M) = 0, whe...
on the occasion of their 70th birthdays Let I) J be two squarefree monomial ideals of a polynomial a...
Let $I$ be the edge ideal of a Cohen-Macaulay tree of dimension $d$ over a polynomial ring $S = \mat...
AbstractLet J⊂I be monomial ideals. We show that the Stanley depth of I/J can be computed in a finit...
In this article we describe an algorithm to compute the Stanley depth of I=J where I and J are monom...
In this thesis we classify all unmixed monomial ideals I of codimension 2 which are generically a co...
By a classical result of Brodmann, the function $\operatorname{depth} R/I^t$ is asymptotically a con...
A famous conjecture by R. Stanley relates the depth of a module, an algebraic invariant, with the so...
In this paper we prove a conjecture of Landweber and Stong [LS] that reduces the calculation of the ...
AbstractLet Q and Q′ be two monomial primary ideals of a polynomial algebra S over a field. We give ...
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