On the second relative homology of Leibniz algebras (Q6607193)
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scientific article; zbMATH DE number 7915040
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the second relative homology of Leibniz algebras |
scientific article; zbMATH DE number 7915040 |
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On the second relative homology of Leibniz algebras (English)
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18 September 2024
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The Künneth formula for the second Leibniz homology is generalized to the second relative homology. This is used to obtain several new results. An upper bound is obtained for the dimension of the second relative homology of an arbitrary pair of finite dimensional nilpotent Leibniz algebras. Classification of all pairs of Leibniz algebras whose second relative homology has three steps distance to the maximal bound is obtained. The structure of the relative stem cover of a direct sum of two pairs of Leibniz algebras is described.
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cover
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nilpotent Leibniz algebra
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second relative homology
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