230 citations · 498 across the 25 of their papers we have counts for
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Module Hom-algebras
Donald Yau
We study a twisted version of module algebras called module Hom-algebras. It is shown that module algebras deform into module Hom-algebras via endomorphisms. As an example, we cons…
Hom-algebras and homology
Donald Yau
Classes of -Hom-associative algebras are constructed as deformations of -associative algebras along algebra endomorphisms. As special cases, we obtain Hom-associative and Hom…
Enveloping algebras of Hom-Lie algebras
Donald Yau
Enveloping algebras of Hom-Lie and Hom-Leibniz algebras are constructed.
Cohomology and deformation of module-algebras
Donald Yau
An algebraic deformation theory of module-algebras over a bialgebra is constructed. The cases of module-coalgebras, comodule-algebras, and comodule-coalgebras are also considered.
Gerstenhaber structure and Deligne's conjecture for Loday algebras
Donald Yau
A method for establishing a Gerstenhaber algebra structure on the cohomology of Loday-type algebras is presented. This method is then applied to dendriform dialgebras and three typ…
Deformation theory of dialgebra morphisms
Donald Yau
An algebraic deformation theory of dialgebra morphisms is obtained.