English

Gerasimov's theorem and N-Koszul algebras

Rings and Algebras 2014-02-26 v3 Representation Theory

Abstract

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.

Keywords

Cite

@article{arxiv.0801.3383,
  title  = {Gerasimov's theorem and N-Koszul algebras},
  author = {Roland Berger},
  journal= {arXiv preprint arXiv:0801.3383},
  year   = {2014}
}

Comments

19 pages; some corrections and improvements; version to appear

R2 v1 2026-06-21T10:05:15.774Z