Bracket algebra

In mathematics, a bracket algebra is an algebraic system that connects the notion of a supersymmetry algebra with a symbolic representation of projective invariants.
Given that "L" is a proper signed alphabet and Super["L"] is the supersymmetric algebra, the bracket algebra Bracket["L"] of dimension "n" over the field "K" is the quotient of the algebra Brace{"L"} obtained by imposing the congruence relations below, where "w", "w"', ..., "w"" are any monomials in Super["L"]: