SOLVE C Q1/(A): Let f: M → N be R-homomorphism. Prove that :1- f(0) = 0.2- f(-a) = -f(a).Va EM(B): Let M be simple R –module , show if M is cyclic or not? (why)(C): Write all essential submodule of Z24 as Z-module.

(C) We know that a submodule E of M is essential if it has a non trivial intersection with every non…

Answered: Write all essential submodule of Z 24…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.6: Quotient Groups

Problem 11E: Find all homomorphic images of the quaternion group.

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Write all essential submodule of Z 24 as Z-module.