If R has an identity and P is a finitely generated projective unitary left R-module, then (a)
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If R has an identity and P is a finitely generated projective unitary left R-module, then
(a) P* is a finitely generated projective right R-module.
(b) P is reflexive. This proposition may be false if the words "finitely generated" are omitted; see Exercise 10.
Data from exercise 10
Let 
be a free Z-module with an infinite basis X. Then {∫x|x ϵ X} .nX (Theorem 4.11) does not form a basis of F*.
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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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