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 image


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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