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.
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
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.