6 citations · 22 across the 17 of their papers we have counts for
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Deformations of associative Rota-Baxter operators
Apurba Das
Rota-Baxter operators and more generally -operators on associative algebras are important in probability, combinatorics, associative Yang-Baxter equation and splitting…
Cohomology and deformations of dendriform coalgebras
Apurba Das
Dendriform coalgebras are the dual notion of dendriform algebras and are splitting of associative coalgebras. In this paper, we define a cohomology theory for dendriform coalgebras…
Deformations of Loday-type algebras and their morphisms
Apurba Das
We study formal deformations of multiplication in an operad. This closely resembles Gerstenhaber's deformation theory for associative algebras. However, this applies to various alg…
Cohomology and deformations of dendriform algebras, and -algebras
Apurba Das
A dendriform algebra is an associative algebra whose product splits into two binary operations and the associativity splits into three new identities. These algebras arise naturall…
Cohomology of BiHom-associative algebras
Apurba Das
Bihom-associative algebras have been recently introduced in the study of group hom-categories. In this paper, we introduce a Hochschild type cohomology for bihom-associative algebr…