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- W2810585502 abstract "Let L be a finite dimensional nilpotent Leibniz algebra such that dim(L)=n and dim(L2)=m≠0. In this paper, we prove dim(HL2(L))≤(n+m−2)(n−m)−m+2, where HL2(L) is the second Leibniz homology of L. As a consequence, for a non-abelian nilpotent Leibniz algebra L, we find that s(L)=(n−1)2+1−dim(HL2(L))≥0. Furthermore, we determine all finite dimensional nilpotent Leibniz algebras with s(L) less than or equal to three." @default.
- W2810585502 created "2018-07-10" @default.
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- W2810585502 date "2018-10-01" @default.
- W2810585502 modified "2023-10-16" @default.
- W2810585502 title "Characterizing nilpotent Leibniz algebras by a new bound on their second homologies" @default.
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- W2810585502 doi "https://doi.org/10.1016/j.jalgebra.2018.06.019" @default.
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