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Canonical static concept record

Semigroup

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Summary

An associative magma.

Record metadata

Carrier(s)

Data

Axioms / constraints

Concept sources

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MagmaSemigroup

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

Authored explanation

Require (xy)z=x(yz)(xy)z=x(yz).

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.

Semigroupsemigroup + topology(construction junction)

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

Authored explanation

Supply the Semigroup structure as one jointly required input.

How to interpret this relation type

Feed several structures into a construction junction and impose compatibility between them.

Relation sources

SemigroupMonoid

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

Authored explanation

Select semigroups in which a two-sided identity exists; 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