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Elements Of Modern Algebra

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter6: More On Rings

Section6.3: The Characteristic Of A Ring

Problem 4TFE: True or False Label each of the following statements as either true or false. 4. If a ring has...

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M5

Prove the following
(a) Finitely generated projective modules over a local ring are free.
(b) Projective modules are flat, but the converse is not true.
(c) Finitely generated flat modules over a Noetherian ring are projective.

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