Abstract
The Schur -multiplier of Leibniz algebras is the Schur multiplier of Leibniz algebras defined relative to the Liezation functor. In this paper, we provide upperbounds for the dimensions of the c-nilpotent Schur
-multiplier and c-
stem cover of a finite-dimensional non-Lie Leibniz algebra. In the case of a
-nilpotent non-Lie Leibniz algebra, we determine this upperbound in terms of the dimensions of its
-center and
-commutator. We also investigate the case of c-nilpotent Leibniz algebras of maximal class.
Acknowledgements
We are indebted to the referee for very useful comments and remarks.