7. A binary operation a*b = (a+b)/3 defined on Real Numbers is_A.just a groupoidB.a semigroup but not a monoidC.a monoid but not a groupa groupD.7

Groupoid : A set having one binary operation satisfying only Closure .

Answered: 7. A binary operation a*b = (a+b)/3…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.1: Definition Of A Group

Problem 31E

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7. A binary operation a*b = (a+b)/3 defined on Real Numbers is_ A. just a groupoid B. a semigroup but not a monoid C. a monoid but not a group D. a group