Affiliation:
1. School of Science, Henan Institute of Technology, Xinxiang, P.R.China
2. School of Mathematics, Southeast University, Nanjing, P.R.China
Abstract
This paper is devoted to the construction of Hom-Leibniz H-pseudoalgebras,
which unify Hom-Lie H-pseudoalgebras, Leibniz H-pseudoalgebras and
Hom-Leibniz algebras. Firstly, we give the construction theorem and obtain a
class of Hom-Leibniz H-pseudoalgebras. We also construct Hom- Leibniz
H-pseudoalgebras from different perspectives, including Leibniz
H-pseudoalgebras, Hom-Leibniz (resp. Hom-Lie, Hom-associative)
H-pseudoalgebras and their representations, Hom-Leibniz (resp.
Homassociative) algebras. Thenwegive some properties of the representations
of Hom-LeibnizH-pseudoalgebras. Finally, the annihilation algebras of
Hom-Leibniz H-pseudoalgebras are investigated.
Publisher
National Library of Serbia
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