On the set Q of all rational numbers an operation * is defined by `a*b = 1 + ab`. Show that * is a

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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 *
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
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
The binary operation * is defined by a∗b=ab/7 on the set Q if all rational numbers. Show that * is a The binary operation * is defined by a∗b=ab/7 on the set Q if all rational numbers. Show that * is a
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
If the binary operation ο is defined by aοb = a + b - ab on the set Q - { -1} of all rational number If the binary operation ο is defined by aοb = a + b - ab on the set Q - { -1} of all rational number
Show that the set Q1 of all rational number other than 1 with the operation defined a*b = a+b-ab is Show that the set Q1 of all rational number other than 1 with the operation defined a*b = a+b-ab is
Show that the set Q Show that the set Q' of all rational number other than -1 with the operation defined by a*b=a+b+ab