7. Aring with identity (R. +..) is commutative if: (a) Ris an integral domain () (a+ b) - a + Zab + b' for any a, b ER. (b) Every element in a ring Ris idempotent (4) All answers (a. b,c) are correct.
7. Aring with identity (R. +..) is commutative if: (a) Ris an integral domain () (a+ b) - a + Zab + b' for any a, b ER. (b) Every element in a ring Ris idempotent (4) All answers (a. b,c) are correct.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:7- A ring with identity (R. +..) is commutative if:
(a) Ris an integral domain
(c) (a + b) - a' + Zab + b' for any a, b eR.
(b) Every element in a ring R is idempotent
a + Zab + b' for any a, b ER. (d) All answers (a. b,c) are correct.
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