- #1
calvino
- 108
- 0
I decided to group my threads into one, as I'm finding more and more problems that I need help on. I hope I haven't hurt anyone by doing so.
PROBLEMS I NEED HELP WITH:
1) find an integral domain where NOT every element (not a unit) is expressible as a finite product of irreducibles.
2) ZXZ = <(a,b), (c,d)> iff ad-bc = +/- 1 , Z= the integers
3) find a finite group with elements a,b, such that (a^2)(b^2)= (b^2)(a^2), and
(a^3)(b^3)= (b^3)(a^3), but ab doesn't equal ba [EDIT: I originally posted the question improperly. Thanks AKG for the correction. This is how it is suppose to be]
4) Prove that for any infinite set A, there is always a 1-1 and onto function from A to AxA.
5) Show that (RXR, +) ~ (R, +)
PROBLEMS I NEED HELP WITH:
1) find an integral domain where NOT every element (not a unit) is expressible as a finite product of irreducibles.
2) ZXZ = <(a,b), (c,d)> iff ad-bc = +/- 1 , Z= the integers
3) find a finite group with elements a,b, such that (a^2)(b^2)= (b^2)(a^2), and
(a^3)(b^3)= (b^3)(a^3), but ab doesn't equal ba [EDIT: I originally posted the question improperly. Thanks AKG for the correction. This is how it is suppose to be]
4) Prove that for any infinite set A, there is always a 1-1 and onto function from A to AxA.
5) Show that (RXR, +) ~ (R, +)
Last edited: