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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 14E

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21. Let R be a ring and let a be a nonzero element of R that is not a zero divisor.
Prove that cancelation holds for a; that is, prove that
(a) If ab ac in R, then b = c.
=
(b) If ba =
ca in R, then b = c.

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