Difference between revisions of "Template:Group-like structures"

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imported>Gamall Wednesday Ida
(Elements in header line were visibly not centred, which I find clashed with centred content cells. There certainly is a better fix, but I don't grok the syntax well enough for a more elegant solution.)
imported>Parcly Taxel
m (Who ordered that?)
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| {{yes|Required}} || {{yes|Required}} || {{yes|Required}} || {{yes|Required}} || {{no|Unneeded}}
 
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! [[Abelian Group]]
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! [[Abelian group]]
 
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Revision as of 00:03, 17 December 2016

Group-like structures
Totalityα Associativity Identity Invertibility Commutativity
Semicategory Unneeded Required Unneeded Unneeded Unneeded
Category Unneeded Required Required Unneeded Unneeded
Groupoid Unneeded Required Required Required Unneeded
Magma Required Unneeded Unneeded Unneeded Unneeded
Quasigroup Required Unneeded Unneeded Required Unneeded
Loop Required Unneeded Required Required Unneeded
Semigroup Required Required Unneeded Unneeded Unneeded
Monoid Required Required Required Unneeded Unneeded
Group Required Required Required Required Unneeded
Abelian group Required Required Required Required Required
Closure, which is used in many sources, is an equivalent axiom to totality, though defined differently.

fr:Modèle:StructuresSemblablesGroupes pl:Szablon:Struktury grupopodobne