6 citations · 22 across the 17 of their papers we have counts for
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Matching relative Rota-Baxter algebras, matching dendriform algebras and their cohomologies
Ramkrishna Mandal, Apurba Das
The notion of matching Rota-Baxter algebras was recently introduced by Gao, Guo and Zhang [{\em J. Algebra} 552 (2020) 134-170] motivated by the study of algebraic renormalization…
Compatible, split and family Loday-algebras
Apurba Das
Given a nonsymmetric operad , we first construct two new nonsymmetric operads and . These operads are respec…
Pre-Leibniz algebras
Apurba Das
The notion of pre-Leibniz algebras was recently introduced in the study of Rota-Baxter operators on Leibniz algebras. In this paper, we first construct a graded Lie algebra whose M…
Twisted Rota-Baxter families and NS-family algebras
Apurba Das
Family algebraic structures indexed by a semigroup first appeared in the algebraic aspects of renormalizations in quantum field theory. The concept of the Rota-Baxter family and it…
(Co)homology of compatible associative algebras
Taoufik Chtioui, Apurba Das, Sami Mabrouk
In this paper, we define and study (co)homology theories of a compatible associative algebra . At first, we construct a new graded Lie algebra whose Maurer-Cartan elements are g…
Twisted relative Rota-Baxter operators on Leibniz algebras and NS-Leibniz algebras
Apurba Das, Shuangjian Guo
In this paper, we introduce twisted relative Rota-Baxter operators on a Leibniz algebra as a generalization of twisted Poisson structures. We define the cohomology of a twisted rel…