Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8895839 | Journal of Algebra | 2018 | 11 Pages |
Abstract
Let L be a finite dimensional nilpotent Leibniz algebra such that dimâ¡(L)=n and dimâ¡(L2)=mâ 0. In this paper, we prove dimâ¡(HL2(L))â¤(n+mâ2)(nâm)âm+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)=(nâ1)2+1âdimâ¡(HL2(L))â¥0. Furthermore, we determine all finite dimensional nilpotent Leibniz algebras with s(L) less than or equal to three.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Behrouz Edalatzadeh, Seyedeh Narges Hosseini,