Construct a ring homomorphism Z|V2| → Z/(7). Verify it is indeed a ring homomorphism (show all work.)

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.2: Ring Homomorphisms
Problem 11E: 11. Show that defined by is not a homomorphism.
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4. Construct a ring homomorphism Z v2 → Z/(7). Verify it is indeed a ring homomorphism
(show all work.)
Transcribed Image Text:4. Construct a ring homomorphism Z v2 → Z/(7). Verify it is indeed a ring homomorphism (show all work.)
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