Question

Suppose S is a semi-group such that x2y=y=yx2 for all x,y in S. Which of the following statements is true?

Answer 1

Answer:

S = {x = ±1 , All y }

Step-by-step explanation:

x²y = y = yx²

x²y  = yx² ( true for anu value of x & y) as both are same thing

x²y = y

=> x² = 1

=> x = ±1

& is independent to y

S = {x = ±1 , All y }