Recent content by sapnpf6

so it is not necessary to prove commutativity of addition or multiplication in real numbers here? just making sure...

in case i did not show enough of an attempt at a solution, here is a more detailed attempt summary... the operation * is commutative if for every x,y∈{x∈R:x≠ -1} such that x*y = y*x. But, x*y = x + y + xy, and y*x = y + x + yx, = y + x + xy (by commutative law of...

Homework Statement so.. let the operation * be defined as x*y = x + y + xy for every x,y ∈ S, where S = {x ∈ R : x ≠ -1}. Now i have proven associativity, existence of an identity and inverses, all without commutativity, but i must show that this is an abelian group, so now i have to show...