Vector Spaces
... The set of integers Z and the set of rational numbers Q are commutative groups under normal addition. But the set of natural numbers ℵ is not a group because there are no additive inverses in ℵ and there is no zero element. The following theorem holds for any group V , in particular for a vector spa ...
... The set of integers Z and the set of rational numbers Q are commutative groups under normal addition. But the set of natural numbers ℵ is not a group because there are no additive inverses in ℵ and there is no zero element. The following theorem holds for any group V , in particular for a vector spa ...
