4 papers
Embedding tensors on 3-Leibniz algebras and their derived algebraic structures and deformations
Wen Teng, Shuangjian Guo
In this paper, first we introduce the notions of 3-tri-Leibniz algebras and embedding tensors on 3-Leibniz algebras. We show that an embedding tensor gives rise to a 3-tri-Leibniz…
Cohomologies and deformations of weighted Rota-Baxter Lie algebras and associative algebras with derivations
Basdouri Imed, Sadraoui Mohamed Amin, Shuangjian Guo
The purpose of the present paper is to investigate cohomologies and deformations of weighted Rota-Baxter Lie algebras as well as weighted Rota-Baxter associative algebras with deri…
Cohomologies of Reynolds Lie-Yamaguti algebras of any weight and applications
Wen Teng, Shuangjian Guo
The purpose of the present paper is to investigate cohomologies of Reynolds Lie-Yamaguti algebras of any weight and provide some applications. First, we introduce the notion of Rey…
Modified Rota-Baxter Lie-Yamaguti algebras
Wen Teng, Shuangjian Guo
In this paper, first we introduce the concept of modified Rota-Baxter Lie-Yamaguti algebras. Then the cohomology of a modified Rota-Baxter Lie-Yamaguti algebra with coefficients in…