13 citations · 19 across the 11 of their papers we have counts for
11 papers
On Nijenhuis Lie triple systems
Shuangjian Guo, Bibhash Mondal, Ripan Saha
In this paper, we investigate the mathematical structure of Nijenhuis Lie triple systems, an extension of classical Lie triple systems augmented with the Nijenhuis operator. Our st…
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…
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…
-structures and cohomology theory of compatible -operators and compatible dendriform algebras
Apurba Das, Shuangjian Guo, Yufei Qin
The notion of -operator is a generalization of the Rota-Baxter operator in the presence of a bimodule over an associative algebra. A compatible -operator…
BiHom-Lie superalgebra structures
Shengxiang Wang, Shuangjian Guo
The aim of this paper is to introduce the notion of BiHom-Lie superalgebras. This class of algebras is a generalization of both BiHom-Lie algebras and Hom-Lie superalgebras. In thi…
On the structure theorem and the Maschke type theorem of Doi Hom-Hopf modules
Shuangjian Guo, Xiaohui Zhang
We give necessary and sufficient conditions for the functor that forgets the -coaction to be separable. This leads to a generalized notion of integrals. Finally, the applic…