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math.RA2020
Involutive and oriented dendriform algebras
Apurba Das, Ripan Saha
Dendriform algebras are certain splitting of associative algebras and arise naturally from Rota-Baxter operators, shuffle algebras and planar binary trees. In this paper, we first…
math.RA2020★ 2 cited
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…
math.RA2020★ 1 cited
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…