The following conditions on a ring R [with identity] are equivalent: (a) Every [unitary] R-module is projective.
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The following conditions on a ring R [with identity] are equivalent:
(a) Every [unitary] R-module is projective.
(b) Every short exact sequence of [unitary] R-modules is split exact.
(c) Every [unitary] R-module is injective.
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ANSWER To start lets define some terms A module M is projective if every short exact sequence 0 A B ...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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