b. Let R be a ring with unity and ICRX R. Prove that I is an ideal of the ring R x R if and only if I = 11 x I2 for some ideals I1 and I2 of R.
b. Let R be a ring with unity and ICRX R. Prove that I is an ideal of the ring R x R if and only if I = 11 x I2 for some ideals I1 and I2 of R.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.4: Maximal Ideals (optional)
Problem 13E
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kindly solve part (b) question is from course rings and fields
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