# Article

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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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