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Loop

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Summary

A quasigroup with a two-sided identity element.

Record metadata

Carrier(s)

Data

Axioms / constraints

Notes

A two-sided identity in a quasigroup, if it exists, is unique.

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QuasigroupLoop

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Select quasigroups with a two-sided identity; it is then unique.

How to interpret this relation type

Keep the existing data and select the subclass satisfying an additional law, existence condition, finiteness condition, or other property.

Relation sources

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No direct relations are authored in this direction.