Add to ORKGLet $S=K[x_1,\dots,x_n]$ be a polynomial ring in $n$ variables with coefficients over a field $K$. A $t$-spread lexsegment ideal $I$ of $S$ is a monomial ideal generated by a $t$-spread lexsegment set. We determine all $t$-spread lexsegment ideals with linear resolution by means of Betti splittings. As applications we provide formulas for the Betti numbers of such a class of ideals and furthermore we characterize all incompletely $t$-spread lexsegment ideals with linear quotients.Comment: Accepted for publication in the Journal of Algebra and its Application
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...
We study the minimal primary decomposition of completely $t$-spread lexsegment ideals via simplicial...
We consider vector-spread Borel ideals. We show that these ideals have linear quotients and thereby ...
We consider vector-spread Borel ideals. We show that these ideals have linear quotients and thereby ...
Let $S=\mathbb{K}[x_1,\ldots,x_n]$ the polynomial ring over a field $\mathbb{K}$. In this paper for ...
AbstractWe study reverse lex ideals in a polynomial ring, and compare their properties to those of l...
Let k be a field and S = k [x1 , . . . , xn ] a polynomial ring. This thesis considers the structure...
Ankara : The Department of Mathematics and the Graduate School of Engineering and Science of Bilkent...
Let $K$ be a field and $S=K[x_1,\ldots,x_n]$ a standard polynomial ring over $K$. In this paper, som...
Let $K$ be a field and $S=K[x_1,\ldots,x_n]$ a standard polynomial ring over $K$. In this paper, som...
Let $R=\mathbb{K}[x_1,\dots,x_n]$, a graded algebra $S=R/I$ satisfies $N_{k,p}$ if $I$ is generated ...
AbstractWe study the Betti numbers of graded ideals containing the squares of the variables, in a po...
AbstractLet S=K[x1,…,xn] be a standard graded polynomial ring over a field K. In this paper, we show...
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...
We study the minimal primary decomposition of completely $t$-spread lexsegment ideals via simplicial...
We consider vector-spread Borel ideals. We show that these ideals have linear quotients and thereby ...
We consider vector-spread Borel ideals. We show that these ideals have linear quotients and thereby ...
Let $S=\mathbb{K}[x_1,\ldots,x_n]$ the polynomial ring over a field $\mathbb{K}$. In this paper for ...
AbstractWe study reverse lex ideals in a polynomial ring, and compare their properties to those of l...
Let k be a field and S = k [x1 , . . . , xn ] a polynomial ring. This thesis considers the structure...
Ankara : The Department of Mathematics and the Graduate School of Engineering and Science of Bilkent...
Let $K$ be a field and $S=K[x_1,\ldots,x_n]$ a standard polynomial ring over $K$. In this paper, som...
Let $K$ be a field and $S=K[x_1,\ldots,x_n]$ a standard polynomial ring over $K$. In this paper, som...
Let $R=\mathbb{K}[x_1,\dots,x_n]$, a graded algebra $S=R/I$ satisfies $N_{k,p}$ if $I$ is generated ...
AbstractWe study the Betti numbers of graded ideals containing the squares of the variables, in a po...
AbstractLet S=K[x1,…,xn] be a standard graded polynomial ring over a field K. In this paper, we show...
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...