Solution Found!
(a) Show that ct : Z3 -+ Z6 given by ct([ah) = [a]6 is not well defined. (Compare
Chapter 21, Problem 21.6(choose chapter or problem)
QUESTION:
(a) Show that ct : Z3 -+ Z6 given by ct([ah) = [a]6 is not well defined. (Compare 21.5.)(b) For which pairs m, n is f3 : Zm -+ Zn defined by f3([a]m) = [a]" well defined?
Questions & Answers
QUESTION:
(a) Show that ct : Z3 -+ Z6 given by ct([ah) = [a]6 is not well defined. (Compare 21.5.)(b) For which pairs m, n is f3 : Zm -+ Zn defined by f3([a]m) = [a]" well defined?
ANSWER:Step 1 of 2
Show that by is not well defined.
(a) is well defined.
First, note that is well defined function, since if in, then and this implies that (from the data)
And also, which is wrong.
Hence the mapping by is not well – defined.