Now showing items 1-10 of 11
On the multi-Koszul property for connected algebras
(Univ Bielefeld, 2013-12)
In this article we introduce the notion of multi-Koszul algebra for the case of a locally finite dimensional nonnegatively graded connected algebra, as a generalization of the notion of (generalized) Koszul algebras defined ...
d-Koszul algebras, 2-d-determined algebras and 2-d-Koszul algebras
(ELSEVIER SCIENCE BV, 2011)
The relationship between an algebra and its associated monomial algebra is investigated when at least one of the algebras is d-Koszul It is shown that an algebra which has a reduced Grobnerbasis that is composed of homogeneous ...
On the existence of a derived equivalence between a Kozul algebra and its Yoneda Algebra
(World Scientific, 2014-01)
In this paper, we study the derived categories of a Koszul algebra and its Yoneda algebra to determine when those categories are triangularly equivalent. We prove that the simply connected Koszul algebras are derived ...
PBW-deformations and deformations à la Gerstenhaber of N-Koszul algebras
(European Mathematical Society, 2014-07)
In this article we establish an explicit link between the classical theory of deformations à la Gerstenhaber (and a fortiori with the Hochschild cohomology) and (weak) PBW-deformations of homogeneous algebras. Our point ...
Algunas propiedades homológicas del plano de JordanSome homological properties of Jordan plane
(Universidad Pedagógica y Tecnológica de Colombia, 2019)
SP-1329: Álgebra Homológica
Este es un curso de álgebra homológica, un optativo de posgrado en matemáticas. El álgebra homológica abarca la determinación y el manejo de invariantes algebraicos en diversas ramas de la matemática. El curso empieza ...
Solving a sparse system using linear algebra
We give a new theoretical tool to solve sparse systems with finitely many solutions. It is based on toric varieties and basic linear algebra; eigenvalues, eigenvectors and coefficient matrices. We adapt Eigenvalue theorem ...
Normal Rees Algebras