Add to ORKGAbstract. Generalizing the notion of a Koszul algebra, a graded k-algebra A is K2 if its Yoneda algebra ExtA(k, k) is generated as an algebra in cohomology degrees 1 and 2. We prove a strong theorem about K2 factor algebras of Koszul algebras and use that theorem to show the Stanley-Reisner face ring of a simplicial complex ∆ is K2 whenever the Alexander dual simplicial complex ∆ ∗ is (sequentially) Cohen-Macaulay. 1
In this paper we study N-koszul algebras which were introduced by R. Berger. We show that when n ≥ 3...
AbstractThe notion of a K2-algebra was recently introduced by Cassidy and Shelton as a generalizatio...
For every positively graded algebra A, we show that its categories of linear complexes of projective...
AbstractGeneralizing the notion of a Koszul algebra, a graded k-algebra A is K2 if its Yoneda algebr...
AbstractGeneralizing the notion of a Koszul algebra, a graded k-algebra A is K2 if its Yoneda algebr...
Let k be a field and R a standard graded k-algebra. We denote by HR the homology algebra of the Kosz...
Abstract We associate with every pure flag simplicial complex $\Delta $ a standard g...
We associate with every pure flag simplicial complex Delta a standard graded Gorenstein F-algebra R_...
noncommutative algebra; noncommutative algebraic geometry; Koszul algebras and theirResearch Interes...
Abstract. We prove the simple fact that the factor ring of a Koszul algebra by a regular, normal, qu...
Koszul algebras, introduced by Priddy, are positively graded K-algebras R whose residue fieldK has a...
The Yoneda algebra of a Koszul algebra or a D-Koszul algebra is Koszul. K<sub>2</sub> algebras are a...
AbstractAssociated to any simplicial complex Δ on n vertices is a square-free monomial ideal IΔ in t...
We associate with every pure flag simplicial complex $\Delta $ a standard graded Gorenstein $\mathbb...
We define generalized Koszul modules and rings and develop a generalized Koszul theory for $\mathbb{...
In this paper we study N-koszul algebras which were introduced by R. Berger. We show that when n ≥ 3...
AbstractThe notion of a K2-algebra was recently introduced by Cassidy and Shelton as a generalizatio...
For every positively graded algebra A, we show that its categories of linear complexes of projective...
AbstractGeneralizing the notion of a Koszul algebra, a graded k-algebra A is K2 if its Yoneda algebr...
AbstractGeneralizing the notion of a Koszul algebra, a graded k-algebra A is K2 if its Yoneda algebr...
Let k be a field and R a standard graded k-algebra. We denote by HR the homology algebra of the Kosz...
Abstract We associate with every pure flag simplicial complex $\Delta $ a standard g...
We associate with every pure flag simplicial complex Delta a standard graded Gorenstein F-algebra R_...
noncommutative algebra; noncommutative algebraic geometry; Koszul algebras and theirResearch Interes...
Abstract. We prove the simple fact that the factor ring of a Koszul algebra by a regular, normal, qu...
Koszul algebras, introduced by Priddy, are positively graded K-algebras R whose residue fieldK has a...
The Yoneda algebra of a Koszul algebra or a D-Koszul algebra is Koszul. K<sub>2</sub> algebras are a...
AbstractAssociated to any simplicial complex Δ on n vertices is a square-free monomial ideal IΔ in t...
We associate with every pure flag simplicial complex $\Delta $ a standard graded Gorenstein $\mathbb...
We define generalized Koszul modules and rings and develop a generalized Koszul theory for $\mathbb{...
In this paper we study N-koszul algebras which were introduced by R. Berger. We show that when n ≥ 3...
AbstractThe notion of a K2-algebra was recently introduced by Cassidy and Shelton as a generalizatio...
For every positively graded algebra A, we show that its categories of linear complexes of projective...