Geodesic
The construction of Hom-Leibniz H-pseudoalgebras
Filomat, Tome 36 (2022) no. 8, p. 2617

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DOI

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. Hom-associative) algebras. Then we give some properties of the representations of Hom-Leibniz H-pseudoalgebras. Finally, the annihilation algebras of Hom-Leibniz H-pseudoalgebras are investigated.
DOI : 10.2298/FIL2208617L
Classification : 16T05, 17B61, 17A32, 18C40
Keywords: Hom-Leibniz H-pseudoalgebra, Hom-Lie H-pseudoalgebra, Hom-Leibniz algebra, annihilation algebra 
Linlin Liu; Shuanhong Wang. The construction of Hom-Leibniz H-pseudoalgebras. Filomat, Tome 36 (2022) no. 8, p. 2617 . doi: 10.2298/FIL2208617L
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     title = {The construction of {Hom-Leibniz} {H-pseudoalgebras}},
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