) Let R be a commutative ring and f : R → S be a ring isomorphism. Then (i) check as to whether S is also commutataive or not (ii) what can you conclude about commutativity and isomorphisms
) Let R be a commutative ring and f : R → S be a ring isomorphism. Then (i) check as to whether S is also commutataive or not (ii) what can you conclude about commutativity and isomorphisms
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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