Add to ORKGLet $A=K[x_{1}, \cdots, x_{d}] $ be a polynomial ring over a field $K $ and $\mathfrak{m}=(x_{1}, \cdots, x_{d}) $. We regard $A $ as a graded object with some positive degree $deg(x_{i})=w_{i} $ for $i=$ $1,$ $\ldots,
Let A denote any polynomial ring over a field K and I any homogeneous ideal of A. In this paper it i...
Let S be a polynomial ring over a field and I⊆S a homogeneous ideal containing a regular sequence of...
Let S be a polynomial ring over a field and I⊆S a homogeneous ideal containing a regular sequence of...
Let R be a Noetherian ring and I an ideal in R. Then there exists an integer k such that for all n ≥...
summary:When $S$ is a polynomial ring or more generally a standard graded algebra over a field $K$, ...
AbstractWe study the relationship between the Tor-regularity and the local-regularity over a positiv...
Let $S = K[x_1, \ldots, x_n]$ denote the polynomial ring in $n$ variables over a field $K$ with each...
Let A=K[x1,...,xn] be a standard graded polynomial ring over a field K, letM = (x1,...,xn) be the gr...
Let $S = K[x_1, \ldots, x_n]$ denote the polynomial ring in $n$ variables over a field $K$ with each...
When M is a finitely generated graded module over a standard graded algebra S and I is an ideal of S...
AbstractA bound is given for the Castelnuovo–Mumford regularity of initial ideals of a homogeneous i...
AbstractLet I be a homogeneous ideal of the polynomial ring K[x0,…,xn], where K is an arbitrary fiel...
Let S be a polynomial ring over a field. For a graded S-module generated in degree at most P, the Ca...
Let $R=K[x_1,\ldots, x_n]$ be the polynomial ring in $n$ variables over a field $K$ and $I$ be a mon...
Let $A = K[x_1,\ldots, x_n]$ denote the polynomial ring in $n$ variables over a field $K$ of charact...
Let A denote any polynomial ring over a field K and I any homogeneous ideal of A. In this paper it i...
Let S be a polynomial ring over a field and I⊆S a homogeneous ideal containing a regular sequence of...
Let S be a polynomial ring over a field and I⊆S a homogeneous ideal containing a regular sequence of...
Let R be a Noetherian ring and I an ideal in R. Then there exists an integer k such that for all n ≥...
summary:When $S$ is a polynomial ring or more generally a standard graded algebra over a field $K$, ...
AbstractWe study the relationship between the Tor-regularity and the local-regularity over a positiv...
Let $S = K[x_1, \ldots, x_n]$ denote the polynomial ring in $n$ variables over a field $K$ with each...
Let A=K[x1,...,xn] be a standard graded polynomial ring over a field K, letM = (x1,...,xn) be the gr...
Let $S = K[x_1, \ldots, x_n]$ denote the polynomial ring in $n$ variables over a field $K$ with each...
When M is a finitely generated graded module over a standard graded algebra S and I is an ideal of S...
AbstractA bound is given for the Castelnuovo–Mumford regularity of initial ideals of a homogeneous i...
AbstractLet I be a homogeneous ideal of the polynomial ring K[x0,…,xn], where K is an arbitrary fiel...
Let S be a polynomial ring over a field. For a graded S-module generated in degree at most P, the Ca...
Let $R=K[x_1,\ldots, x_n]$ be the polynomial ring in $n$ variables over a field $K$ and $I$ be a mon...
Let $A = K[x_1,\ldots, x_n]$ denote the polynomial ring in $n$ variables over a field $K$ of charact...
Let A denote any polynomial ring over a field K and I any homogeneous ideal of A. In this paper it i...
Let S be a polynomial ring over a field and I⊆S a homogeneous ideal containing a regular sequence of...
Let S be a polynomial ring over a field and I⊆S a homogeneous ideal containing a regular sequence of...