Define on Q the operation * by a*b = (ab)/2, for all a,b element of Q. This binary structure is O a monoid but not a group a groupoid but not a semigroup O a semigroup but not a monoid O an abelian group

Define on Q the operation * by a*b = (ab)/2, for all a,b element of Q. This binary structure is O a monoid but not a group a groupoid but not a semigroup O a semigroup but not a monoid O an abelian group

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.5: Normal Subgroups

Problem 4E: 4. Prove that the special linear group is a normal subgroup of the general linear group .

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Question

Define on Q the operation * by a*b =
(ab)/2, for all a,b element of Q. This
binary structure is
O a monoid but not a group
a groupoid but not a semigroup
O a semigroup but not a monoid
O an abelian group

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