Let F be a free Leibniz algebra generated by the set X = {x(1), ... , x(n)} over the field K of characteristic 0 and let R be an ideal of F. In this study, a necessary and sufficient condition for n elements of the Leibniz algebra F/R' to be a generating set is given.
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Univ Calif Santa Cruz, Dept Math, Santa Cruz, CA 95064 USAUniv Calif Santa Cruz, Dept Math, Santa Cruz, CA 95064 USA
Mason, Geoffrey
Yamskulna, Caywalee
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Illinois State Univ, Dept Math Sci, Normal, IL 61790 USA
Walailak Univ, Inst Sci, Nakon Si Thammarat, ThailandUniv Calif Santa Cruz, Dept Math, Santa Cruz, CA 95064 USA