230 citations · 1.2k across the 72 of their papers we have counts for
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A twisted generalization of Novikov-Poisson algebras
Donald Yau
Hom-Novikov-Poisson algebras, which are twisted generalizations of Novikov-Poisson algebras, are studied. Hom-Novikov-Poisson algebras are shown to be closed under tensor products…
Non-commutative Hom-Poisson algebras
Donald Yau
A Hom-type generalization of non-commutative Poisson algebras, called non-commutative Hom-Poisson algebras, are studied. They are closed under twisting by suitable self-maps. Hom-P…
Right Hom-alternative algebras
Donald Yau
It is shown that every multiplicative right Hom-alternative algebra is both Hom-power associative and Hom-Jordan admissible. Multiplicative right Hom-alternative algebras admit Alb…
Hom-power associative algebras
Donald Yau
A generalization of power associative algebra, called Hom-power associative algebra, is studied. The main result says that a multiplicative Hom-algebra is Hom-power associative if…
A Hom-associative analogue of n-ary Hom-Nambu algebras
Donald Yau
It is shown that every n-ary totally Hom-associative algebra with equal twisting maps yields an n-ary Hom-Nambu algebra via an n-ary version of the commutator bracket. The class of…
On n-ary Hom-Nambu and Hom-Maltsev algebras
Donald Yau
Hom-alternative and Hom-Jordan algebras are shown to give rise to Hom-Nambu algebras of arities 2^{k+1} + 1. The class of n-ary Hom-Maltsev algebras is studied. Multiplicative n-ar…
On n-ary Hom-Nambu and Hom-Nambu-Lie algebras
Donald Yau
It is observed that the category of n-ary Hom-Nambu(-Lie) algebras is closed under twisting by self-weak morphisms. Constructions of ternary Hom-Nambu algebras from Hom-associative…
Hom-Maltsev, Hom-alternative, and Hom-Jordan algebras
Donald Yau
Hom-Maltsev(-admissible) algebras are defined, and it is shown that Hom-alternative algebras are Hom-Maltsev-admissible. With a new definition of a Hom-Jordan algebra, it is shown…
Infinitesimal Hom-bialgebras and Hom-Lie bialgebras
Donald Yau
We study the Hom-type generalization of infinitesimal bialgebras, called infinitesimal Hom-bialgebras. In particular, we consider infinitesimal Hom-bialgebras arising from quivers,…