R-projective modules over a semiperfect ring
RD Ketkar, N Vanaja - Canadian Mathematical Bulletin, 1981 - cambridge.org
R -PROJECTIVE MODULES OVER A SEMIPERFECT RING Page 1 Canad. Math. Bull. Vol. 24
(3), 1981 R -PROJECTIVE MODULES OVER A SEMIPERFECT RING BY RD KETKAR AND N …
(3), 1981 R -PROJECTIVE MODULES OVER A SEMIPERFECT RING BY RD KETKAR AND N …
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RD KETKAR, N VANAJA - Canad. Math. Bull, 1981 - scholar.archive.org
Proof. Let g: Q-+ Q/M be the natural map. It is clear that gx= g| N: N—> Q/M is onto. This
shows that Q/M and hence Px must be cyclic. Since Q is R-projective and Px is cyclic there …
shows that Q/M and hence Px must be cyclic. Since Q is R-projective and Px is cyclic there …