Coequalizer (original) (raw)

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dbo:abstract In category theory, a coequalizer (or coequaliser) is a generalization of a quotient by an equivalence relation to objects in an arbitrary category. It is the categorical construction dual to the equalizer. (en) Der Differenzkokern ist ein mathematischer Begriff aus dem Teilgebiet der Kategorientheorie. Es handelt sich um den zum Differenzkern dualen Begriff. Alternative Bezeichnungen sind Koegalisator oder, der englischen Bezeichnung nachempfunden, Koequalizer. Auch die Schreibweisen mit „c“, das heißt Differenzcokern, Coegalisator bzw. Coequalizer, sind gebräuchlich. (de) 圏論における余等化子(よとうかし、英: coequalizer , coequaliser)は同値関係による商の、任意の圏における対象に対する一般化である。余等化子は等化子の双対となる圏論的構成である。 (ja) Na teoria das categorias, coequalizador é o dual ao conceito de equalizador, e, a grosso modo, generaliza a uma categoria qualquer a noção de quociente por uma relação de equivalência. (pt) Коуравнитель — теоретико-категорное обобщение понятия фактора по отношению эквивалентности. Это понятие двойственно к понятию уравнителя, отсюда и название. (ru)
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rdfs:comment In category theory, a coequalizer (or coequaliser) is a generalization of a quotient by an equivalence relation to objects in an arbitrary category. It is the categorical construction dual to the equalizer. (en) Der Differenzkokern ist ein mathematischer Begriff aus dem Teilgebiet der Kategorientheorie. Es handelt sich um den zum Differenzkern dualen Begriff. Alternative Bezeichnungen sind Koegalisator oder, der englischen Bezeichnung nachempfunden, Koequalizer. Auch die Schreibweisen mit „c“, das heißt Differenzcokern, Coegalisator bzw. Coequalizer, sind gebräuchlich. (de) 圏論における余等化子(よとうかし、英: coequalizer , coequaliser)は同値関係による商の、任意の圏における対象に対する一般化である。余等化子は等化子の双対となる圏論的構成である。 (ja) Na teoria das categorias, coequalizador é o dual ao conceito de equalizador, e, a grosso modo, generaliza a uma categoria qualquer a noção de quociente por uma relação de equivalência. (pt) Коуравнитель — теоретико-категорное обобщение понятия фактора по отношению эквивалентности. Это понятие двойственно к понятию уравнителя, отсюда и название. (ru)
rdfs:label Differenzkokern (de) Coequalizer (en) 余等化子 (ja) Coequalizador (teoria das categorias) (pt) Коуравнитель (ru)
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