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Article

Ježek, J. ; Kepka, Tomáš
A note on uniserial loops. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 51 (2010), issue 2, pp. 263-265
MSC: 06A05, 06B15, 20N05 | MR 2682479 | Zbl 1211.20061
Keywords:
loop; subloop; chain; uniserial
Summary:
All ordinal numbers $\alpha$ with the following property are found: there exists a loop such that its subloops form a chain of ordinal type $\alpha$.
References:
[1] Smith J.D.H.: An Introduction to Quasigroups and their Representations. CRC Press, Boca Raton, FL, 2007. MR 2268350 | Zbl 1122.20035
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