Show that f:Z2 -> Z2 defined by f(n) = n2-n is a ring homomarphism.

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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Show that f:Z2 -> Z2 defined by f(n) = n2-n is a ring homomarphism.

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