Hom-Bol algebras are defined as a twisted generalization of (left) bol algebra. Hom-Bol algebras generalize multiplicative Hom-Lie triple systems in the same way as Bol algebras generalize Lie triple systems. The notion of an nth derived (binary) H [...]
Every multiplicative Hom-Maltsev algebra has a natural multiplicative Hom-Lie triple system structure. Moreover, there is a natural Hom-Bol algebra structure on every multiplicative Hom-Maltsev algebra and on every multiplicative right (or left) Hom [...]
In this paper, we describe color Hom-Poisson structures in terms of a single bilinear operation. This enables us to explore color Hom-Poisson algebras in the realm of non-Hom-associative color algebras. [...]
In this paper we prove that any Malcev superalgebra has a Lie supertriple system structure and a Bol superalgebra structure. [...]
Let K be a field and KQ be a noetherian path algebra for the quiver Q. Given a left (resp. right) finitely generated ideal I of KQ, we propose a new idea for computing left (resp. right) Groebner bases on KQ. As application, we propose a method for [...]
(Multiplicative) Hom-Lie-Yamaguti superalgebras are defined as a Z 2 -graded generalization of Hom-Lie Yamaguti algebras and also as a twisted generalization of Lie-Yamaguti superalgebras. Hom-Lie-Yamaguti superalgebras generalize also Hom-Lie supe [...]
GAPARAYI DONATIEN [1], ATTAN SYLVAIN [2], ISSA A. NOUROU [3],
The aim of this paper is to introduce color Hom-Novikov-Poisson algebras which generalize color Hom-Novikov algebras. Many constructions of color Hom-Novikov-Poisson algebras are given either from color Novikov-Poisson algebras or from ε-commutative [...]