16:43 O & Oall 57%Let S =la, b e R} and let p:S → R be defined by : ø( ) =1) o is a ringa)Homomorphism.b)Isomorphismc)None2) ker (4) is generated bya)b) : 1c) 83) S/ker (4) =a)b)c)Rd) None4) Ker (4) is:a) Prime ideal not maximalb) Maximal ideal not primec) Both maximal and primed) Noneа)b)c)1-IIK

Answered: Image /qna-images/answer/b65de1da-58ee-471c-a967-66657df9ac96.jpg

{: Tla, b e R} and let p:S -R be defined by : 0(; ) = c Let S = %3D 1) is a ring a) Homomorphism. b) Isomorphism c) None 2) ker () is generated by a) 6 b) G ) 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

{: Tla, b e R} and let p:S -R be defined by : 0(; ) = c Let S = %3D 1) is a ring a) Homomorphism. b) Isomorphism c) None 2) ker () is generated by a) 6 b) G ) 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

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

16:43 O & O
all 57%
Let S =
la, b e R} and let p:S → R be defined by : ø( ) =
1) o is a ring
a)
Homomorphism.
b)
Isomorphism
c)
None
2) ker (4) is generated by
a)
b) : 1
c) 8
3) S/ker (4) =
a)
b)
c)
R
d) None
4) Ker (4) is:
a) Prime ideal not maximal
b) Maximal ideal not prime
c) Both maximal and prime
d) None
а)
b)
c)
1-
II
K

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