Submonoid property

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This article is about a general term. A list of important particular cases (instances) is available at Category: Submonoid properties

Definition

Symbol-free definition

A submonoid property is a map from the collection of all monoid-submonoid pairs to the two-element set (true, false), with the property that two equivalent submonoids (viz equivalent monoid-submonoid pairs) either both have the property or both do not have the property. The submonoid property space is the collection of all submonoid properties.

See also

• Monoid property