AbstractWe show that diagonal subalgebras and generalized Veronese subrings of a bigraded Koszul algebra are Koszul. We give upper bounds for the regularity of side-diagonal and relative Veronese modules and apply the results to symmetric algebras and Rees rings
Abstract. We determine the positively graded commutative algebras over which the residue field modul...
AbstractThis paper studies a new class of modules over noetherian local rings, called Koszul modules...
AbstractThe relationship between an algebra and its associated monomial algebra is investigated when...
Let k be a field, S be a bigraded k-algebra, and SΔ denote the diagonal subalgebra of S correspondin...
Koszul algebras, introduced by Priddy, are positively graded K-algebras R whose residue fieldK has a...
AbstractLet A be a noetherian AS-regular Koszul quiver algebra (if A is commutative, it is essential...
Let S be a polynomial ring over an infinite field and let I be a homogeneous ideal of S. Let T d be ...
AbstractLet R be a Koszul algebra over a field k and M be a linear R-module. We study a graded subal...
AbstractWe study the relationship between the Tor-regularity and the local-regularity over a positiv...
Abstract⌉Let S be a polynomial ring over an infinite field and let I be a homogeneous ideal of S. Le...
Let $S=K[x_1,\ldots,x_n]$ be a polynomial ring over a field $K$ and $I$ a homogeneous ideal in $S$ g...
We study the Castelnuovo-Mumford regularity of the module of Koszul cycles of a homogeneous ideal I ...
A graded K-algebra R has property Np if it is generated in degree 1, has relations in degree 2 and t...
Each connected graded, graded-commutative algebra $A$ of finite type over a field $\Bbbk$ of charact...
AbstractWe prove the simple fact that the factor ring of a Koszul algebra by a regular, normal, quad...
Abstract. We determine the positively graded commutative algebras over which the residue field modul...
AbstractThis paper studies a new class of modules over noetherian local rings, called Koszul modules...
AbstractThe relationship between an algebra and its associated monomial algebra is investigated when...
Let k be a field, S be a bigraded k-algebra, and SΔ denote the diagonal subalgebra of S correspondin...
Koszul algebras, introduced by Priddy, are positively graded K-algebras R whose residue fieldK has a...
AbstractLet A be a noetherian AS-regular Koszul quiver algebra (if A is commutative, it is essential...
Let S be a polynomial ring over an infinite field and let I be a homogeneous ideal of S. Let T d be ...
AbstractLet R be a Koszul algebra over a field k and M be a linear R-module. We study a graded subal...
AbstractWe study the relationship between the Tor-regularity and the local-regularity over a positiv...
Abstract⌉Let S be a polynomial ring over an infinite field and let I be a homogeneous ideal of S. Le...
Let $S=K[x_1,\ldots,x_n]$ be a polynomial ring over a field $K$ and $I$ a homogeneous ideal in $S$ g...
We study the Castelnuovo-Mumford regularity of the module of Koszul cycles of a homogeneous ideal I ...
A graded K-algebra R has property Np if it is generated in degree 1, has relations in degree 2 and t...
Each connected graded, graded-commutative algebra $A$ of finite type over a field $\Bbbk$ of charact...
AbstractWe prove the simple fact that the factor ring of a Koszul algebra by a regular, normal, quad...
Abstract. We determine the positively graded commutative algebras over which the residue field modul...
AbstractThis paper studies a new class of modules over noetherian local rings, called Koszul modules...
AbstractThe relationship between an algebra and its associated monomial algebra is investigated when...
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