English

Rota-Baxter operators of nonzero weight on the matrix algebra of order three

Rings and Algebras 2022-10-04 v1

Abstract

We classify all Rota-Baxter operators of nonzero weight on the matrix algebra of order three over an algebraically closed field of characteristic zero which are not arisen from the decompositions of the entire algebra into a direct vector space sum of two subalgebras.

Keywords

Cite

@article{arxiv.1911.13020,
  title  = {Rota-Baxter operators of nonzero weight on the matrix algebra of order three},
  author = {Maxim Goncharov and Vsevolod Gubarev},
  journal= {arXiv preprint arXiv:1911.13020},
  year   = {2022}
}

Comments

25 p