1 citations · 1 across the 5 of their papers we have counts for
6 papers
Double constructions of biHom-Frobenius algebras
Mahouton Norbert Hounkonnou, Gbêvèwou Damien Houndedji, Sergei Silvestrov
This paper addresses a Hom-associative algebra built as a direct sum of a given Hom-associative algebra and its dual $(\mathcal{A}^{\ast}, \circ, α^{\ast}…
Double constructions of quadratic and sympletic antiassociative algebras
Gbêvèwou Damien Houndedji, Cyrille Essossolim Haliya
This work addresses some relevant characteristics and properties of -generalized associative algebras and -generalized dendriform algebras such as bimodules, matched pairs. W…
On a pre-Jacobi-Jordan algebra: relevant properties and double construction
Cyrille Essossolim Haliya, Gbêvèwou Damien Houndedji
We introduce a pre-Jacobi-Jordan algebras and study some relevant properties such as bimodules, matched pairs. Besides, we established a pre-Jacobi-Jordan algebra built as a direct…
Hom-coassociative ternary coalgebras and infinitesimal bialgebras
Mahouton Norbert Hounkonnou, Gbevewou Damien Houndedji
In this work, the partially and totally hom-coassociative ternary coalgebras are constructed and discussed. Their {infinitesimal} bialgebraic structures are also investigated. The…
2-hom-associative bialgebras and hom-left symmetric dialgebras
Mahouton Norbert Hounkonnou, Gbevewou Damien Houndedji
From the definition and properties of unital hom-associative algebras, and the use of the Kaplansky's constructions, we develop new algebraic structures called 2-hom-associative bi…
Double constructions of Heisenberg Frobenius algebras and Connes cocycles, and solutions of the three-dimensional associative Yang-Baxter equation
Mahouton Norbert Hounkonnou, Gbevewou Damien Houndedji
We consider the three-dimensional associative algebra H consisting of the 3x3 strictly upper triangular matrices whose the commutator is the Heisenberg Lie algebra. We determine th…