Answered: 6. A binary operation a*b = |a - b|…

6. A binary operation a*b = |a - b| defined on Real Numbers (R) is A. just a groupoid B. a semigroup but not a monoid C. a monoid but not a group D. a group

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.3: Permutation Groups In Science And Art (optional)

Problem 7TFE: The alternating group A4 on 4 elements is the same as the group D4 of symmetries for a square. That...

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Question

6. A binary operation a*b = |a - b| defined on Real Numbers (R) is
A.
just a groupoid
B.
a semigroup but not a monoid
C.
a monoid but not a group
D.
a group
6

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