Define with .

Show that N is multiplicative.

I'm a bit rusty on this, showing it is multiplicative means closure, associative, inverse, identity, right? Or N(ab) = N(a)N(b)?

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- Jan 26th 2008, 01:22 PMtttcomraderShow that N is multiplicative
Define with .

Show that N is multiplicative.

I'm a bit rusty on this, showing it is multiplicative means closure, associative, inverse, identity, right? Or N(ab) = N(a)N(b)? - Jan 26th 2008, 02:04 PMOpalg
- Jan 26th 2008, 03:07 PMtttcomrader
Alright, that would be easy, thank you!

- Jan 26th 2008, 08:30 PMtttcomrader
I was trying to work this out, but here is what I got.

Let x=a+bw and y=c+dw.

N(xy) = N(ac+adw+cbw+bdw), I can't get it into a the form of u+vw, how would I do it? Thanks. - Jan 27th 2008, 01:32 AMOpalg