Affiliation:
1. Mathematical Institute of the SASA, Belgrade
Abstract
We investigate a family of identities similar to weak associativity:
x(y/y)?z = x?(y/y)z which might imply the existence of
the {left, right, middle} unit in a quasigroup. A partial solution to
Krapez, Shcherbacov Problem concerning such identities and consequently
to similar well known Belousov's Problem is obtained. Another problem by
Krapez and Shcherbacov is solved affirmatively, showing that there are
many single identities determining unipotent loops among quasigroups.
Publisher
National Library of Serbia
Cited by
1 articles.
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