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Let R be a ring and a, b in R. Show that ab is nilpotent implies that ba is nilpotent.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter6: More On Rings

Section6.1: Ideals And Quotient Rings

Problem 15E: Let I be an ideal in a ring R with unity. Prove that if I contains an element a that has a...

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Let R be a ring and a, b in R. Show that ab is nilpotent implies that ba is nilpotent.

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