8. If R is a field, then: a) = R[x] b) is prime c) is maximal d) None of above

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 21E: Prove that every ideal of n is a principal ideal. (Hint: See corollary 3.27.)
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8. If R is a field, then:
a) <x >= R[x]
b) <x > is prime
c) <x > is maximal
d) None of above
a)
b)
O d)
Transcribed Image Text:8. If R is a field, then: a) <x >= R[x] b) <x > is prime c) <x > is maximal d) None of above a) b) O d)
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