Classes of $ G $-Hom-associative algebras are constructed as deformations of $ G $-
associative algebras along algebra endomorphisms. As special cases, we obtain Hom …

Hom-structures (Lie algebras, algebras, coalgebras, Hopf algebras) have been investigated
in the literature recently. We study Hom-structures from the point of view of monoidal …

We study Hom-bialgebras and objects admitting coactions by Hom-bialgebras. In particular,
we construct a Hom-bialgebra M (2) representing the functor of 2× 2-matrices on Hom …

We introduce a twisted generalization of quantum groups, called quasi-triangular Hom-
bialgebras. They are non-associative and non-coassociative analogues of Drinfel'd's quasi …

The main feature of Hom-algebras is that the identities defining the structures are twisted by
homomorphisms. The purpose of this paper is to introduce Hom-alternative algebras and …

A hom-associative structure is a set A together with a binary operation⋆ and a self-map α
such that an α-twisted version of associativity is fulfilled. In this paper, we assume that α is …

Motivated by recent work on Hom–Lie algebras, a twisted version of the Yang–Baxter
equation, called the Hom–Yang–Baxter equation (HYBE), was introduced by Yau [J. Phys. A …

We study a twisted generalization of Novikov algebras, called Hom–Novikov algebras, in
which the two defining identities are twisted by a linear map. It is shown that Hom–Novikov …

The aim of this paper is to give a survey of nonassociative Hom-algebra and Hom-
superalgebra structures. The main feature of these algebras is that the identities defining the …

In this paper, we introduce a common generalizing framework for alternative types of Hom-
associative algebras. We show that the observation that unital Hom-associative algebras …