On the universal \(\alpha\)-central extension of the semi-direct product of Hom-Leibniz algebras (Q503533)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the universal \(\alpha\)-central extension of the semi-direct product of Hom-Leibniz algebras |
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On the universal \(\alpha\)-central extension of the semi-direct product of Hom-Leibniz algebras (English)
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13 January 2017
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Hom-actions and semi-direct product are defined in this paper in the framework of Hom-Leibniz algebras, furthermore, some properties about split extensions, semi-direct product of Hom-Leibniz algebras, universal (\(\alpha\))-central extensions of \(\alpha\)-perfect Hom-Leibniz algebras, derivations and \(\alpha\)-covers are studied with detail.
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Hom-Leibniz algebra
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\(\alpha\)-perfect Hom-Leibniz algebra
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Hom-action
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universal (\(\alpha\))-central extension
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semi-direct product
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derivation
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\(\alpha\)-cover
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