In mathematics, a (right) Leibniz algebra, named after Gottfried Wilhelm Leibniz, sometimes called a Loday algebra, after Jean-Louis Loday, is a module L over a commutative ring R with a bilinear product [ _ , _ ] satisfying the Leibniz identity [ [ a , b ] , c ] = [ a , [ b , c ] ] + [ [ a , c ] , b ] . {\displaystyle [[a,b],c]=[a,[b,c]]+[[a,c],b].\,} In other words, right multiplication by any element c is a derivation.
In mathematics, a (right) Leibniz algebra, named after Gottfried Wilhelm Leibniz, sometimes called a Loday algebra, after Jean-Louis Loday, is a module L over a commutative ring R with a bilinear product [ _ , _ ] satisfying the Leibniz identity [ [ a , b ] , c ] = [ a , [ b , c ] ] + [ [ a , c ] , b ] . {\displaystyle [[a,b],c]=[a,[b,c]]+[[a,c],b].\,} In other words, right multiplication by any element c is a derivation.
Source: Wikipedia "Leibniz algebra" · CC BY-SA 4.0
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