Let I_1, 1_2 are two ideals of a ring (R,+,.) such that I_1N 1_2={0}, then * O Every [ael) _1 and be _2, then a.b#0 O Every [ael) _1 and be _2, then a.b=1 O Every [ael] _1 and be I_2, then a.b3D0
Let I_1, 1_2 are two ideals of a ring (R,+,.) such that I_1N 1_2={0}, then * O Every [ael) _1 and be _2, then a.b#0 O Every [ael) _1 and be _2, then a.b=1 O Every [ael] _1 and be I_2, then a.b3D0
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 6E: Exercises
Find two ideals and of the ring such that
is not an ideal of .
is an ideal of .
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