DM - Lattice & Group -Q6

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For a positive number c, consider the open interval G = (-c, c) of real numbers. For x, y \in G, define 

                                            x*y:=\frac{x+y}{1+xy/c^2}

Which one of the following statements is true?

(A).G is monoid but not group

(B).G is a group but not abelian

(C).G is semigroup but not a monoid 

(D).G is an abelian group

asked 6 days ago in Discrete Maths by gbeditor (44,490 points)
reshown 3 days ago by gbeditor

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