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1. Let f.A B be an R-homomorphism, show that the following are equivalent: a) Kerfis a direct summand of A and Imf is a
1. Let f.A B be an R-homomorphism, show that the following are equivalent: a) Kerfis a direct summand of A and Imf is a direct summand of B. b) There is homomorphism g: B A such that f= fgf.
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Algebra Graduate Texts In Mathematics 73
Authors: Thomas W. Hungerford
8th Edition
978-0387905181, 0387905189
