Let R = {1 la, be Q}and let p:R - Q be defined by : Ø(1E D = aa .1) dis a ringa)Homomorphism.b)Isomorphismc)None2) ker (4) is generated bya) o olb) : )113) R/ker (4) =a) zb)Qc)Rd) None4) Ker (4) is:Prime ideal not maximalb)Maximal ideal not primec)Both maximal and primed) None

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= {I6 Tla, b e Q}and let p:R - Q be defined by : 0( 1) ois a ring a) Homomorphism. b) Isomorphism c) None

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter6: More On Rings

Section6.4: Maximal Ideals (optional)

Problem 8E

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Question

Let R = {1 la, be Q}and let p:R - Q be defined by : Ø(1E D = a
a .
1) dis a ring
a)
Homomorphism.
b)
Isomorphism
c)
None
2) ker (4) is generated by
a) o ol
b) : )
11
3) R/ker (4) =
a) z
b)
Q
c)
R
d) None
4) Ker (4) is:
Prime ideal not maximal
b)
Maximal ideal not prime
c)
Both maximal and prime
d) None

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