5) Let (R,+) and (R.+,) be any two rings, let f: R R be a ring homomorphism Ker () (0), then a) f is onto but need not to be one to one. b) is one to one but need not to be onto. off is a bijective always. d) No one of above.
5) Let (R,+) and (R.+,) be any two rings, let f: R R be a ring homomorphism Ker () (0), then a) f is onto but need not to be one to one. b) is one to one but need not to be onto. off is a bijective always. d) No one of above.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![5)
Let (R,+) and (R.+,) be any two rings, let f: R R be a ring homomorphism
Ker ()
(0), then
a) f is onto but need not to be one to one.
b) is one to one but need not to be onto.
off is a bijective always.
d) No one of above.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b7d3895-7419-44ce-b088-e007067b64d9%2Fa2d3aebb-ab1b-47c9-99b7-864a48f69b5a%2Fiklojn_processed.jpg&w=3840&q=75)
Transcribed Image Text:5)
Let (R,+) and (R.+,) be any two rings, let f: R R be a ring homomorphism
Ker ()
(0), then
a) f is onto but need not to be one to one.
b) is one to one but need not to be onto.
off is a bijective always.
d) No one of above.
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