PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 55(69), pp. 1--8 (1994)
On some classes of finite loops
Dragan M. Acketa and Snezana Mati\'c-Keki\'cMatematicki institut, Novi Sad, Yugoslavia
Abstract: Four new equivalence classes of finite loops are considered: $C$-, $R$-, $E$-classes, and parastrophic closures. The first three classes are natural interclasses between isomorphic and isotopy classes of loops. Their internal isotopies are characterized and a way for generating isotopy classes from $C$-classes and $R$-classes is pointed to. The exact upper bound for the length of parastrophic closures is determined.
Keywords: latin squares, isotopy, isomorphic, $C$-, $R$-, $E$- classes, parastrophic closures.
Classification (MSC2000): 05B15
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© 2001 Mathematical Institute of the Serbian Academy of Science and Arts