Superpolynomial identities of finite-dimensional simple algebras
Superpolynomial identities of finite-dimensional simple algebras
We investigate the Grassmann envelope (of finite rank) of a finite-dimensional ℤ2-graded algebra. As a result, we describe the polynomial identities of 𝐺1(𝒜), where G1 stands for the Grassmann algebra with 1 generator, and 𝒜 is a ℤ2-graded-simple associative algebra. We also classify the conditions under which two associative ℤ2-graded-simple …