2 citations · 2 across the 3 of their papers we have counts for
9 papers
On 3-Lie algebras with a derivation
Shuangjian Guo, Ripan Saha
In this paper, we study 3-Lie algebras with derivations. We call the pair consisting of a 3-Lie algebra and a distinguished derivation by the 3-LieDer pair. We define a cohomology…
Rota-Baxter operators and related structures on anti-flexible algebras
Shuangjian Guo, Ripan Saha
In this paper, we first construct a graded Lie algebra which characterizes Rota-Baxter operators on an anti-flexible algebra as Maurer-Cartan elements. Next, we study infinitesimal…
On certain classes of algebras in which centralizers are ideals
Ripan Saha, David A. Towers
This paper is primarily concerned with studying finite-dimensional anti-commutative nonassociative algebras in which every centralizer is an ideal. These are shown to be anti-assoc…
Cohomology and deformations of oriented dialgebras
Ali N. A. Koam, Ripan Saha
We introduce a notion of oriented dialgebra and develop a cohomology theory for oriented dialgebras based on the possibility to mix the standard chain complexes computing group coh…
Equivariant one-parameter formal deformations of Hom-Leibniz algebras
Goutam Mukherjee, Ripan Saha
Aim of this paper is to define a new type of cohomology for multiplicative Hom-Leibniz algebras which controls deformations of Hom-Leibniz algebra structure. The cohomology and the…
On Leibniz algebras whose centralizers are ideals
Pratulananda Das, Ripan Saha
This paper concerns the study of Leibniz algebras, a natural generalization of Lie algebras, from the perspective of centralizers of elements. We study conditions on Leibniz algebr…