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8 (R, +..) is an integral domain, then the ring (R x R, +..) is: (a) an integral domain (c) a simple ring (b) a non-commutative ring (d) All answers (a, b. e) are not correct.

8 (R, +..) is an integral domain, then the ring (R x R, +..) is: (a) an integral domain (c) a simple ring (b) a non-commutative ring (d) All answers (a, b. e) are not correct.

Elements Of Modern Algebra
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 33E: 33. An element of a ring is called nilpotent if for some positive integer . Show that the set of all...
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8- Ir(R, +..) is an integral domain, then the ring (R x R, +..) is: (a) an integral domain (c) a simple ring (b) a non-commutative ring (d) All answers (a, b. c) are not correct.
Transcribed Image Text:8- Ir(R, +..) is an integral domain, then the ring (R x R, +..) is: (a) an integral domain (c) a simple ring (b) a non-commutative ring (d) All answers (a, b. c) are not correct.
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