On Q, the set of all rational numbers, * is defined by a∗b = (a-b)/2 show that * is not associative.

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Q, the set of all rational number, * is defined by `a*b=(a-b)/2` , show that * is no associative. Q, the set of all rational number, * is defined by `a*b=(a-b)/2` , show that * is no associative.
Show that set of rational numbers not equal to -1 is an abelian group under a.b = a + b + ab Show that set of rational numbers not equal to -1 is an abelian group under a.b = a + b + ab
The set Q of all rational number, operation * is defined by a*b=a+b+ab forms a commutative monoid The set Q of all rational number, operation * is defined by a*b=a+b+ab forms a commutative monoid
Show that the set of Q+ forms an abelian group under the operation defined by a * b = ab/2 Show that the set of Q+ forms an abelian group under the operation defined by a * b = ab/2
Show that set Q+ of all +ve rational numbers forms an abelian group under operation * (a*b = ab/2) Show that set Q+ of all +ve rational numbers forms an abelian group under operation * (a*b = ab/2)
Show that set of all positive rational numbers forms abelian grp under operation * (a*b = ab /3) Show that set of all positive rational numbers forms abelian grp under operation * (a*b = ab /3)
Let the set of rational number except -1,show that Q* forms an infinite abelian group a* b = a+b+ ab Let the set of rational number except -1,show that Q* forms an infinite abelian group a* b = a+b+ ab
On the set Q of all rational numbers an operation * is defined by `a*b = 1 + ab`. Show that * On the set Q of all rational numbers an operation * is defined by `a*b = 1 + ab`. Show that *