Answered: a) Let Ø: R – S be a homomorphism of…

Name: solve it clearly please. a) Let Ø: R – S be a homomorphism of rings R
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Description: solve it clearly please. a) Let Ø: R – S be a homomorphism of rings R and S and let B be an ideal of S.Show that 01(B) = {r€RØ(r) E B} is an ideal in R.

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a) Let Ø: R – S be a homomorphism of rings R and S and let B be an ideal of S. Show that 01(B) = {r€RØ(r) E B} is an ideal in R.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter6: More On Rings

Section6.3: The Characteristic Of A Ring

Problem 20E: Let I be the set of all elements of a ring R that have finite additive order. Prove that I is an...

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