5. Let R be a ring (not necessarily commutative). Prove that 0 -r = 0 and -x = (-1) · x for every x E R.

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 5E
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1ot be a umt.
5. Let R be a ring (not necessarily commutative). Prove that 0 x = 0 and -x = (-1) · x for
every x E R.
Transcribed Image Text:1ot be a umt. 5. Let R be a ring (not necessarily commutative). Prove that 0 x = 0 and -x = (-1) · x for every x E R.
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