4 citations · 6 across the 7 of their papers we have counts for
6 papers · 1 filter
Averaging algebras of any nonzero weight
Apurba Das, Ramkrishna Mandal
In this paper, we first introduce the notion of a (relative) averaging operator of any nonzero weight . We show that such operators are intimately related to triassociative alge…
Embedding tensors on Hom-Lie algebras
Apurba Das, Abdenacer Makhlouf
The notion of embedding tensors and the associated tensor hierarchies form an effective tool for the construction of supergravity and higher gauge theories. Embedding tensors and r…
Controlling structures, deformations and homotopy theory for averaging algebras
Apurba Das
An averaging operator on an associative algebra is an algebraic abstraction of the time average operator on the space of real-valued functions defined in time-space. In this pa…
Relative Rota-Baxter Leibniz algebras, their characterization and cohomology
Apurba Das
Recently, relative Rota-Baxter (Lie/associative) algebras are extensively studied in the literature from cohomological points of view. In this paper, we consider relative Rota-Baxt…
-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…
A cohomological study of modified Rota-Baxter algebras
Apurba Das
A modified Rota-Baxter algebra is an algebra equipped with an operator that satisfies the modified Yang-Baxter equation. In this paper, we define the cohomology of a modified Rota-…