PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 55(69), pp. 18 (1994) 

On some classes of finite loopsDragan M. Acketa and Snezana Mati\'cKeki\'cMatematicki institut, Novi Sad, YugoslaviaAbstract: 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 Full text of the article:
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© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
