cohomology 1extension classification 1hom-algebras 1jacobi-jordan algebras 1non-abelian extensions 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.RA2026
Non-abelian extensions of Hom-Jacobi-Jordan algebras
Nejib Saadaoui
The paper develops a cohomology theory for Hom‑Jacobi‑Jordan algebras and shows that split non‑abelian extensions of such algebras are classified by the second cohomology group.
math.RA2025
Non-abelian cohomology and extensions of Hom-algebras via the -Nijenhuis--Richardson bracket
Nejib Saadaoui
This paper develops a cohomology theory for Hom-Leibniz algebras using the -Nijenhuis--Richardson bracket and applies it to classify non-abelian extensions. We introduce left,…
math.RA2024
Extensions of (metric) Hom-Jacobi-Jordan algebras
Nejib Saadaoui
The main purpose of this paper is to provide a second cohomology group of a (metric) Hom-Jacobi algebra with coefficients in a given representation. Moreover, we show that second c…