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ABSTRACT Some properties of the second homology and cover of Leibniz algebras are established. By constructing a stem cover, the second Leibniz homology and cover of abelian, Heisenberg Lie algebras… Click to show full abstract
ABSTRACT Some properties of the second homology and cover of Leibniz algebras are established. By constructing a stem cover, the second Leibniz homology and cover of abelian, Heisenberg Lie algebras and cyclic Leibniz algebras are described. Also, for the dimension of a non-cyclic nilpotent Leibniz algebra L, we obtain dim(HL2(L))≥2.
Keywords:
second homology;
notes second;
homology leibniz;
leibniz algebras;
leibniz
Journal Title: Communications in Algebra
Year Published: 2018
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Journal Title: Communications in Algebra
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!