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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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part 1
{ 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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