Koszul duality for N-Koszul algebras

• Autorzy: Roberto Martínez-Villa , Manuel Saorín
• Języki publikacji: EN

Abstrakty

EN

The correspondence between the category of modules over a graded algebra and the category of graded modules over its Yoneda algebra was studied in [8] by means of $A_{∞}$ algebras; this relation is very well understood for Koszul algebras (see for example [5],[6]). It is of interest to look for cases such that there exists a duality generalizing the Koszul situation. In this paper we will study N-Koszul algebras [1], [7], [9] for which such a duality exists.

Kategorie tematyczne

• 18G35: Chain complexes
• 16E05: Syzygies, resolutions, complexes
• 18G10: Resolutions; derived functors

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2005
• Tom: 103
• Numer: 2
• Strony: 155-168

Daty

wydano

2005

Twórcy

autor

Roberto Martínez-Villa

• Instituto de Matemáticas, UNAM, AP 61-3, 58089 Morelia, Michoacán, Mexico

autor

Manuel Saorín

• Departamento de Matemáticas, Universidad de Murcia, Aptdo. 4021, 30100 Espinardo, Murcia, Spain

Identyfikatory

DOI

10.4064/cm103-2-1