I see that we could have a ‘vector space’ of infinite-dimensional vectors where each vector (a1, a2, …, an, …) represents a number N where N = (P1^a1)(P2^a2)...(Pn^an)… and Pi are the ordered primes.
Oh! And orthogonal vectors are relatively prime!
I’m not sure that the idea of orthogonality is defined for modules, is it? Is there a standard definition of an inner product for a Z-module?
Yes; the same definition works. See here.
Yay! I actually got something right!
Oh! And orthogonal vectors are relatively prime!
I’m not sure that the idea of orthogonality is defined for modules, is it? Is there a standard definition of an inner product for a Z-module?
Yes; the same definition works. See here.
Yay! I actually got something right!