Let S = {[la, b e R} and let o:S→R be defined by : ( ) = a .1) is a ringa)Homomorphism.b)Isomorphismc)None2) ker () is generated bya) ob) ; ]c)3) S/ker () -a)b)d)None4) Ker (@) is:aPrime ideal not maximalb)Maximal ideal not primec)Both maximal and primed) None

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

Let S = { la, b e R} and let p : s –R be defined by : ø( ) = c 1) is a ring a) Homomorphism. b) Isomorphism c) None 2) ker (o) is generated by a) o b) C ] c) 3) S/ker () a) 2 b) c) d) None

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 = {[la, b e R} and let o:S→R be defined by : ( ) = a .
1) is a ring
a)
Homomorphism.
b)
Isomorphism
c)
None
2) ker () is generated by
a) o
b) ; ]
c)
3) S/ker () -
a)
b)
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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