Gerasimov's theorem and N-Koszul algebras

Details Gerasimov's theorem and N-Koszul algebras Gerasimov's theorem and N-Koszul algebras

2008-01-22

arxiv.org/abs/0801.3383v3

Mathematics

Rings and Algebras

19 pages; some corrections and improvements; version to appear

Scientific paper

The paper is devoted to graded algebras having a single homogeneous relation.
Using Gerasimov's theorem, a criterion to be N-Koszul is given, providing new
examples. An alternative proof of Gerasimov's theorem for N=2 is given. Some
related results on Calabi-Yau algebras are proved.

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