Thread: integer modulo 4 vectors

Hi;

is there anything wrong in saying that if u is a vector over then for all
so that the distributive property holds for vectors over Z_4.

Also if



then by the inverse property of groups and the above distributive property



where 0 is the zero vector.


Is there anything wrong with my post at all no matter how trivial? thanks

Originally Posted by Krahl

Hi;

is there anything wrong in saying that if u is a vector over then for all
so that the distributive property holds for vectors over Z_4.

Also if



then by the inverse property of groups and the above distributive property



where 0 is the zero vector.


Is there anything wrong with my post at all no matter how trivial? thanks

What exactly are you asking? If it's a vector field?

Well...maybe you mean field? No, it has non-trivial zero divisors (2)

no, i know isn't a field, i was just wondering whether any of my ascertions were true. it doesn't form a vector space but it does form a structure (with different definitions of linear independence, are linearly independent if ), and i wanted to know whether i could say the distributive property holds in the above sense. Thanks.