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.

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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Apr 15, 2023 03:04 AM

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Let be a short exact sequence of left R-modules and D a right R-module. Then 1s a

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0+3587V-о

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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

Algebra Graduate Texts In Mathematics 73

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