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The notion of prime type for right ideals is analogous to that of prime ideal in a commutative ring, and the right dimension of the ring R is defined using chains of right ideals of prime type. The meaning of zero right dimension, finite dimension for right primitive rings, and related topics are studied.doi:10.1090/s0002-9939-1971-0274488-5 fatcat:q44iy7r77vhujp4hmphak37v4a