xy x z xy y x | y | z zy z x on G = {r, y, z} is for (a) A groupoid (b) A quasigroup (c) A loop (d) All of the above

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.4: Cyclic Groups
Problem 31E: Exercises 31. Let be a group with its center: . Prove that if is the only element of order in ,...
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Which one is correct?

The Cayley table
y z
x z xy
y xy z
y z x
on G = {x, y, z} is for
(a) A groupoid
(b) A quasigroup
(c) A loop
(d) All of the above
Transcribed Image Text:The Cayley table y z x z xy y xy z y z x on G = {x, y, z} is for (a) A groupoid (b) A quasigroup (c) A loop (d) All of the above
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