Let K be a field of characteristic 2. Construct an algebra over satisfying the anticom- mutativity axiom ([a, y] = - [y, a] and the Jacobi identity that is not a Lie algebra (i.e. [x, x] 0 for some x).

Equations and inequalities describe the relationship between two mathematical expressions.

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.