7. Prove that if both R and S in Exercise 6 are integral domains, then RS has charac-teristic mn if mn.

To prove that R⊕S has characteristic mn if R and S are integral domains with characteristics…

Answered: 7. Prove that if both R and S in…

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 26E: Prove that every ordered integral domain has characteristic zero.

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7. Prove that if both R and S in Exercise 6 are integral domains, then RS has charac- teristic mn if mn.