AbstractWe study basic properties of monomial ideals with linear quotients. It is shown that if the monomial ideal I has linear quotients, then the squarefree part of I and each component of I as well as mI have linear quotients, where m is the graded maximal ideal of the polynomial ring. As an analogy to the Rearrangement Lemma of Björner and Wachs we also show that for a monomial ideal with linear quotients the admissible order of the generators can be chosen degree increasingly
In this paper we show that every ideal with linear quotients is componentwise linear. We also genera...
[[abstract]]For the monomial ideals Q in the polynomial ring k[X1,X2,…,Xd] over a field k, we discus...
We establish that the Segre product between a polynomial ring on a field K in m variables and the se...
AbstractWe study basic properties of monomial ideals with linear quotients. It is shown that if the ...
In this thesis, we focus on the study of some classes of monomial ideals, namely lexsegment ideals a...
We introduce the concept of quasi-linearity and prove it is necessary for a monomial ideal to have a...
We develop a new general method for constructing a polynomial ideal that has the same radical as a g...
We develop a new general method for constructing a polynomial ideal that has the same radical as a g...
Let k be a field and S = k [x1 , . . . , xn ] a polynomial ring. This thesis considers the structure...
In this paper we give a combinatorial characterization of monomial ideals of the polynomial ring ...
We present some examples of squarefree monomial ideals whose arithmetical rank can be computed using...
We present some examples of squarefree monomial ideals whose arithmetical rank can be computed using...
Let $S = \mathbb{K}[x_1, \dots, x_n]$ be the polynomial ring over a field $\mathbb{K}$. In this pape...
In this paper we show that every ideal with linear quotients is componentwise linear. We also genera...
In this paper we show that every ideal with linear quotients is componentwise linear. We also genera...
In this paper we show that every ideal with linear quotients is componentwise linear. We also genera...
[[abstract]]For the monomial ideals Q in the polynomial ring k[X1,X2,…,Xd] over a field k, we discus...
We establish that the Segre product between a polynomial ring on a field K in m variables and the se...
AbstractWe study basic properties of monomial ideals with linear quotients. It is shown that if the ...
In this thesis, we focus on the study of some classes of monomial ideals, namely lexsegment ideals a...
We introduce the concept of quasi-linearity and prove it is necessary for a monomial ideal to have a...
We develop a new general method for constructing a polynomial ideal that has the same radical as a g...
We develop a new general method for constructing a polynomial ideal that has the same radical as a g...
Let k be a field and S = k [x1 , . . . , xn ] a polynomial ring. This thesis considers the structure...
In this paper we give a combinatorial characterization of monomial ideals of the polynomial ring ...
We present some examples of squarefree monomial ideals whose arithmetical rank can be computed using...
We present some examples of squarefree monomial ideals whose arithmetical rank can be computed using...
Let $S = \mathbb{K}[x_1, \dots, x_n]$ be the polynomial ring over a field $\mathbb{K}$. In this pape...
In this paper we show that every ideal with linear quotients is componentwise linear. We also genera...
In this paper we show that every ideal with linear quotients is componentwise linear. We also genera...
In this paper we show that every ideal with linear quotients is componentwise linear. We also genera...
[[abstract]]For the monomial ideals Q in the polynomial ring k[X1,X2,…,Xd] over a field k, we discus...
We establish that the Segre product between a polynomial ring on a field K in m variables and the se...
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