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Koszulity for Nonquadratic Algebras

✍ Scribed by Roland Berger

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 203 KB
Volume: 239
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2000.8703

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✦ Synopsis

It is known that a Koszul algebra is defined as being a quadratic algebra with a ''pure'' resolution of the ground field. In this paper, we extend Koszulity to algebras whose relations are homogeneous of degree s ) 2. A cubic Artin᎐Schelter regular algebra has motivated our work. Generalized Koszulity is connected to lattice distributivity and to confluence. A generalized symmetric algebra is proved to be generalized Koszul, and the bimodule version of the generalized Koszul resolution is used for investigating its Hochschild homology. ᮊ 2001 Academic Press n n ql Ž . Ž . r r module A generated in degree 0 , A y1 is the module A generated in 705

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