Mathematical Structures: History of Quasigroups

[Home]History of Quasigroups

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Revision 8 . . July 27, 2004 6:45 pm by Jipsen
Revision 7 . . July 10, 2004 10:51 am by Jipsen
Revision 6 . . (edit) April 18, 2003 10:53 pm by Peter Jipsen
  

Difference (from prior major revision) (author diff)

Changed: 32c32
A quasigroup is a structure $\mathbf{A}=\langle A,\cdot ,\backslash,/\rangle $ of type $\langle 2,2,2\rangle $ such that
A quasigroup is a structure $\mathbf{A}=\langle A,\cdot ,\backslash,/\rangle$ of type $\langle 2,2,2\rangle $ such that

Changed: 35c35
$(y/x)x = y$, $x(x\y) = y$
$(y/x)x = y$, $x(x\backslash y) = y$

Changed: 38c38
$(xy)/y = x$, $x\(xy) = y$
$(xy)/y = x$, $x\backslash(xy) = y$

Changed: 47,48c47
$h(xy)=h(x)h(y)$, $h(x\backslash y)=h(x)\backslash h(y) $, $h(x/y)=h(x)/h(y)$

$h(xy)=h(x)h(y)$, $h(x\backslash y)=h(x)\backslash h(y)$, $h(x/y)=h(x)/h(y)$.

Added: 49a49


Added: 51a52


Added: 55a57


Added: 97a100,101
\href{Medial_quasigroups.pdf}{Medial quasigroups}


Added: 98a103


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