English

Non-semigroup gradings of associative algebras

Rings and Algebras 2018-05-02 v2

Abstract

It is known that there are Lie algebras with non-semigroup gradings, i.e. such that the binary operation on the grading set is not associative. We provide a similar example in the class of associative algebras.

Keywords

Cite

@article{arxiv.1609.03924,
  title  = {Non-semigroup gradings of associative algebras},
  author = {Pasha Zusmanovich},
  journal= {arXiv preprint arXiv:1609.03924},
  year   = {2018}
}

Comments

v2: minor changes