Cohomologies and linear deformations of pre-Jacobi-Jordan algebras
Rings and Algebras
2025-08-06 v1
Abstract
The purpose of this paper is to introduce an algebraic cohomology theory of left pre-Jacobi-Jordan algebras. We use the cohomological approach to study linear deformations of these algebras. We also introduce the notion of Nijenhuis operators on pre-Jacobi-Jordan algebras and we show that the deformation generated by a Nijenhuis operator is trivial.
Keywords
Cite
@article{arxiv.2508.03076,
title = {Cohomologies and linear deformations of pre-Jacobi-Jordan algebras},
author = {Sylvain Attan and Nabil Oro Djibril},
journal= {arXiv preprint arXiv:2508.03076},
year = {2025}
}