Let R be the ring of all functions from R to R. Let I be the subset consisting of those functions f such that f(2)=0. Then prove that I is a subring of R. Moreover, show that it is an ideal of R.
Let R be the ring of all functions from R to R. Let I be the subset consisting of those functions f such that f(2)=0. Then prove that I is a subring of R. Moreover, show that it is an ideal of 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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