If R has an identity and P is a finitely generated projective unitary left Rmodule, then (a)
Question:
If R has an identity and P is a finitely generated projective unitary left Rmodule, then
(a) P* is a finitely generated projective right Rmodule.
(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 Zmodule with an infinite basis X. Then {∫_{x}x ϵ X} .n_{X} (Theorem 4.11) does not form a basis of F*.
Transcribed Image Text:
F  Σ Z Zx reX
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Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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