LIFTING MODULES WITH RESPECT TO APRERADICAL

Let M be a right module over a ring R, M a pre- radical on Q [M], and N € Q[M]. In this note we show that if N¹;N² € Q [M] are two Tm-lifting modules such that Ni is Nj - projective (i; j = 1; 2), then N = N¹ N² is Tm-lifting. We investigate when homomorphic image of a T m - ifting module is Tm-lifting.

کلیدواژه ها:

Preradical ، Hereditary ، M-lifting module