1975Proceedings of the American Mathematical SocietyOpen access

Triples on Reflective Subcategories of Functor Categories

David C. Newell

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Abstract

We show that if $\mathcal {S}$ is a cocontinuous triple on a full reflective subcategory of a functor category then the category of $\mathcal {S}$-algebras is again a full reflective subcategory of a functor category.

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We show that if $\mathcal {S}$ is a cocontinuous triple on a full reflective subcategory of a functor category then the category of $\mathcal {S}$-algebras is again a full reflective subcategory of a functor category.

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Available abstract

We show that if $\mathcal {S}$ is a cocontinuous triple on a full reflective subcategory of a functor category then the category of $\mathcal {S}$-algebras is again a full reflective subcategory of a functor category.

Key concepts: Subcategory, Functor, Mathematics, Functor category, Pure mathematics

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