Commutativity and Ideals in Pre-crystalline Graded Rings
Pre-crystalline graded rings constitute a class of rings which share many properties with classical crossed products. Given a pre-crystalline graded ring A, we describe its center, the commutant C-A(A(0)) of the degree zero grading part, and investigate the connection between maximal commutativity of A(0) in A and the way in which two-sided ideals intersect A(0).
