Algebraic Structures that are similar to Vector Spaces but exist over a Commutative Ring as opposed to a Field?

50 Views Asked by At

I was just wondering if there are Vector Space 'like' structures in which instead of existing over a Field exist over a Commutative Ring?

Thanks, David

1

There are 1 best solutions below

4
On BEST ANSWER

There exists the notion of a module over a ring, see http://mathworld.wolfram.com/Module.html.