1 citations · 1 across the 7 of their papers we have counts for
8 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…
(Co)associative -ary (co)algebras and infinitesimal bialgebras: construction and main properties
Mahouton Norbert Hounkonnou, Gbêvèwou Damien Houndedji
The (co)associative, partially (co)associative and totally (co)associative -ary (co) algebras and infinitesimal bialgebras are constructed and discussed. Their trimodules and ma…
Solutions of associative Yang-Baxter equation and equation in low dimensions and associated Frobenius algebras and Connes cocycles
Mahouton Norbert Hounkonnou, Gbevewou Damien Houndedji
This work addresses some relevant characteristics of associative algebras in low dimensions. Especially, given 1 and 2 dimensional associative algebras, we explicitly solve associa…