Let S = {E Jla, b eR} and let p:S – R be defined by : 0(G D=.a .1) is a ringa)Homomorphism.b)Isomorphismc)None2) ker (4) is generated bya) 8 1b) I 13) S/ker (4) =a) Zb)Qc)Rd) None4) Ker () is:a) Prime ideal not maximalb)Maximal ideal not primec)Both maximal and primed) None

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Answered: = a . Let S = { la, b e R} and let p:S…

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= a . Let S = { la, b e R} and let p:S → R be defined by : Ø( D 1) is a ring

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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Question

Let S = {E Jla, b eR} and let p:S – R be defined by : 0(G D=.
a .
1) is a ring
a)
Homomorphism.
b)
Isomorphism
c)
None
2) ker (4) is generated by
a) 8 1
b) I 1
3) S/ker (4) =
a) Z
b)
Q
c)
R
d) None
4) Ker () is:
a) Prime ideal not maximal
b)
Maximal ideal not prime
c)
Both maximal and prime
d) None

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