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arxiv: 0902.3812 · v1 · pith:XD34MFVMnew · submitted 2009-02-22 · 🧮 math.GR · math.CO

On prolongations of quasigroups

classification 🧮 math.GR math.CO
keywords quasigroupadmissingcompleteelementhavingmappingprolongationprolongations
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We prove that any quasigroup admissing complete or quasicomplete mapping has a prolongation to a quasigroup having one element more.

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