A group (M,*) is said to be abelian if ___________
A. (x+y)=(y+x)
B. (x*y)=(y*x)
C. (x+y)=x
D. (y*x)=(x+y)
Answer:B
A group (M,*) is said to be abelian if ___________
A. (x+y)=(y+x) B. (x*y)=(y*x) C. (x+y)=x D. (y*x)=(x+y)
Explanation: A group (M,*) is said to be abelian if (x*y) = (x*y) for all x, y belongs to M. Thus Commutative property should hold in a group.