Cayley Table/Examples/Arbitrary Order 3 Structure

Example of Cayley Table

The Cayley table of an algebraic structure of order $3$ can be presented:

$\qquad \begin{array}{c|cccc} \circ & a & b & c \\ \hline a & b & c & b \\ b & b & a & c \\ c & a & c & c \\ \end{array}$


Sources

  • 1965: J.A. Green: Sets and Groups ... (previous) ... (next): $\S 4.1$. Binary operations on a set: Example $58$
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