Graded Generalized Polynomial Identities (with an Antiautomorphism) in Graded Algebras

摘要

Let G be a monoid with unity e and cancellation, let F be a commutative ring with 1, and let be a G-graded F-semiprime algebra with finite G-grading satisfying a G-graded generalized polynomial identity (with an antiautomorphism when G is commutative) over R _e. If R _e is prime, then R has a strict GPI over R _e.