English

Cohomology of BiHom-Associative Trialgebras

Rings and Algebras 2024-04-25 v1

Abstract

The paper concerns the cohomology of (multiplicative) BiHom-associative trialgebras. We first detail the correspondence between central extensions and second cohomology. This is followed by a general cohomology theory that unifies those of BiHom-associative algebras and associative trialgebras. Finally, we introduce one-parameter formal deformations and classify generalized αβ\alpha\beta-derivations of 3-dimensional BiHom-associative trialgebras.

Keywords

Cite

@article{arxiv.2404.15567,
  title  = {Cohomology of BiHom-Associative Trialgebras},
  author = {Erik Mainellis and Bouzid Mosbahi and Ahmed Zahari},
  journal= {arXiv preprint arXiv:2404.15567},
  year   = {2024}
}

Comments

16 pages