Damm algorithm: Difference between revisions

Content deleted Content added
OAbot (talk | contribs)
m Open access bot: doi added to citation with #oabot.
m convert special characters (via WP:JWB)
Line 25:
 
and it is called weak totally anti-symmetric if only the first implication holds. Damm proved that the existence of a totally anti-symmetric quasigroup of order {{math|''n''}} is equivalent to the existence of a weak totally anti-symmetric quasigroup of order {{math|''n''}}. For the Damm algorithm with the check equation
{{math|1=(...((0 ∗ ''x<sub>m</sub>'') ∗ ''x''<sub>''m''−1</sub>) ∗ ...) ∗ ''x''<sub>0</sub> = 0}}
a weak totally anti-symmetric quasigroup with the property
{{math|1=''x'' ∗ ''x'' = 0}}