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A note on uniserial loops. (English) Zbl 1211.20061

A loop is called uniserial if the lattice of its subloops is a chain. Well ordered chains (i.e., chains that are isomorphic to an ordinal number) are characterized that are isomorphic to the lattice of subloops of a uniserial loop.

MSC:

20N05 Loops, quasigroups
06B15 Representation theory of lattices
06A05 Total orders
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