a b]. Consider the mapping from M,(Z) into Z given by→ a.c dProve or disprove that this is a ring homomorphism.

The mapping from M2Z into Z given by abcd→a. We have to prove or disprove that this is a ring…

Answered: a b] . Consider the mapping from M,(Z)…

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 12E: 12. Consider the mapping defined by . Decide whether is a homomorphism, and justify your decision.

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a b] . Consider the mapping from M,(Z) into Z given by → a. c d Prove or disprove that this is a ring homomorphism.