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Let R = { la. b e z}and let p:R - Z be defined by : 0(1 ) = 1) o is a ring a) Homomorphism. b) Isomorphism c) None

Let R = { la. b e z}and let p:R - Z be defined by : 0(1 ) = 1) o is a ring a) Homomorphism. b) Isomorphism c) None

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.4: Maximal Ideals (optional)
Problem 8E
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{ la. b e z}and let p:R - Zbe defined by : 0( 1) = a Let R= 1) is a ring a) Homomorphism. b) Isomorphism c) None 2) ker (0) is generated by a) b) : ) c) 3) R/ker (0)= a) z b) Q c) R d) None 4) Ker (e) is a) Prime ideal not maximal b) Maximal ideal not prime c) Both maximal and prime d) None a) b) c) d) 1- 2- 3- 4-
Transcribed Image Text:{ la. b e z}and let p:R - Zbe defined by : 0( 1) = a Let R= 1) is a ring a) Homomorphism. b) Isomorphism c) None 2) ker (0) is generated by a) b) : ) c) 3) R/ker (0)= a) z b) Q c) R d) None 4) Ker (e) is a) Prime ideal not maximal b) Maximal ideal not prime c) Both maximal and prime d) None a) b) c) d) 1- 2- 3- 4-
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