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Classes of rings torsion-free over their centers

Classes of rings torsion-free over their centers

Let J( ) denote the intersection of the maximals ideals of a ring.The following properties are studied, for a ring R torsion-free over its center C: (i)J(R) n C = J(C); (ii) "Going up" from prime ideals of C to prime ideals of R; (iii) If M is a maximal …