Let be a short exact sequence of left R-modules and D a right R-module. Then 1s a
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Letbe a short exact sequence of left R-modules and D a right R-module. Then1s a short exact sequence of abelian groups under any one of the following hypotheses:
(a) (b) R has an identity and Dis a free right R-module.
(c) R has an identity and D is a projective unitary right R-module.
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ANSWER a If 0 A B C 0 is split exact then there exist left Rmodule homomorphisms s B A and r C B such that rs idA and r is a right inverse of s We can ...View the full answer
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Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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