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Canonical static concept record

Quasigroup

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Summary

A magma in which left and right division equations have unique solutions.

Record metadata

Carrier(s)

Data

Axioms / constraints

Concept sources

Incoming relations (arrows to this concept)

Each relation below ends at this concept.

MagmaQuasigroup

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

Authored explanation

Require each equation ax=bax=b and ya=bya=b to have a unique solution.

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

Outgoing relations (arrows from this concept)

Each relation below starts at this concept.

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