6 citations · 23 across the 20 of their papers we have counts for
9 papers · 1 filter
Cohomology and deformations of twisted Rota-Baxter operators and NS-algebras
Apurba Das
The aim of this paper is twofold. In the first part, we consider twisted Rota-Baxter operators on associative algebras that were introduced by Uchino as a noncommutative analogue o…
Noncommutative differential calculus on (co)homology of hom-associative algebras
Apurba Das
A hom-associative algebra is an algebra whose associativity is twisted by an algebra homomorphism. It was previously shown by the author that the Hochschild cohomology of a hom-ass…
Generalized Rota-Baxter systems
Apurba Das
Rota-Baxter systems of T. Brzeziński are a generalization of Rota-Baxter operators that are related to dendriform structures, associative Yang-Baxter pairs and covariant bialgebras…
Rota-Baxter systems on Hom-associative algebras and covariant Hom-bialgebras
Apurba Das
Rota-Baxter systems were introduced by Brzeziński as a generalization of Rota-Baxter operators that are related to dendriform structures, associative Yang-Baxter pairs and covarian…
Rota-Baxter operators on involutive associative algebras
Apurba Das
In this paper, we consider Rota-Baxter operators on involutive associative algebras. We define cohomology for Rota-Baxter operators on involutive algebras that governs the formal d…
On -operators on modules over Lie algebras
Apurba Das
The notion of -operators on modules over Lie algebras generalize Rota-Baxter operators. They also generalize Poisson structures on Lie algebras in the presence of modu…