R= {; a.b e z}and lot 9:R→ Zbo definod by: ( )= .1) ois a ringa)Homomorphism.b)Isomorphismc)None2) ker (6) is generated by3) R/ker (6) =a) Zb) Qc)d) None4) Ker(olisa)Prime ideal not maximalb)Maximal ideal not primec)Both maximall and primedi None

Answered: Image /qna-images/answer/615516f6-8996-4405-8d4e-8f60ff078f78.jpg

Let R = { la, b e Z}and let o:R- Z be defined by : 1) ois a ring a) Homomorphism. b) Isomorphism c) None 2) ker (4) is generated by 3) R/ker (6) = a) Z b) Q c) d) None 4) Ker(olis a) Prime ideal not maximal b) Maximal ideal not prime Both maximal and prime d) None

Let R = { la, b e Z}and let o:R- Z be defined by : 1) ois a ring a) Homomorphism. b) Isomorphism c) None 2) ker (4) is generated by 3) R/ker (6) = a) Z b) Q c) d) None 4) Ker(olis a) Prime ideal not maximal b) Maximal ideal not prime 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

R= {; a.b e z}and lot 9:R→ Zbo definod by: ( )= .
1) ois a ring
a)
Homomorphism.
b)
Isomorphism
c)
None
2) ker (6) is generated by
3) R/ker (6) =
a) Z
b) Q
c)
d) None
4) Ker(olis
a)
Prime ideal not maximal
b)
Maximal ideal not prime
c)
Both maximall and prime
di None

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