a b2.3 Let e: (M2(R), +) → be defined by e= a + d. where a,b,c,d ER(a) Prove that e is a homomorphism.(b) Determine Ker 0 ·

A mapping f:(G,+)→(H,+) is said to be group homomorphism if it satisfies: f(a+b)=f(a)+f(b)…

Answered: 2.3 Let 9: (M2(R), +)→ be defined by e…

2.3 Let 9: (M2(R), +)→ be defined by e c d a b = a +d. where a,b,c,d €R (a) Prove that e is a homomorphism. (b) Determine Ker e -

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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a b
2.3 Let e: (M2(R), +) → <R,+> be defined by e
= a + d. where a,b,c,d ER
(a) Prove that e is a homomorphism.
(b) Determine Ker 0 ·

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