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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Showing 1 to 3 of 3 (0.04 seconds)

Spelling suggestions: "subject:"koszul algebra"" "subject:"koszulity algebra""

1

On Koszul algebras

Blum, Stefan. January 2001 (has links) (PDF)
Essen, University, Diss., 2001.
Koszul-Algebra
2

A Classification of some Quadratic Algebras

McGilvray, H. C. Jr. 27 August 1998 (has links)
In this paper, for a select group of quadratic algebras, we investigate restrictions necessary on the generators of the ideal for the resulting algebra to be Koszul. Techniques include the use of Gröbner bases and development of Koszul resolutions. When the quadratic algebra is Koszul, we provide the associated linear resolution of the field. When not Koszul, we describe the maps of the resolution up to the instance of nonlinearity. / Ph. D.
Koszul algebra
quadratic algebra
monomial generators
3

Centra of Quiver Algebras

Gawell, Elin January 2014 (has links)
A partly (anti-)commutative quiver algebra is a quiver algebra bound by an (anti-)commutativity ideal, that is, a quadratic ideal generated by monomials and (anti-)commutativity relations. We give a combinatorial description of the ideals and the associated generator graphs, from which one can quickly determine if the ideal is admissible or not. We describe the center of a partly (anti-)commutative quiveralgebra and state necessary and sufficient conditions for the center to be finitely genteratedas a K-algebra.Examples are provided of partly (anti-)commutative quiver algebras that are Koszul algebras. Necessary and sufficient conditions for finite generation of the Hochschild cohomology ring modulo nilpotent elements for a partly (anti-)commutative Koszul quiver algebra are given.
quiver
algebra
commutativity ideal
anti-commutativity ideal
non-commutative
partly commutative
partly anti-commutative
center
Koszul algebra
finitely generated
graded center
Hochschild cohomology
support variety
associative algebra
Mathematics
Matematik

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