Commutativity and Ideals in Strongly Graded Rings
In some recent papers by the first two authors it was shown that for any algebraic crossed product A, where A(0), the subring in the degree zero component of the grading, is a commutative ring, each non-zero two-sided ideal in A has a non-zero intersection with the commutant C-A(A(0)) of A(0) in A. This result has also been generalized to crystalline graded rings; a more general class of graded ri
