Duality in topological algebra

B. J. Day

doi:10.1017/S0004972700008352

Duality in topological algebra

B. J. Day^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

Aspects of duality relating to compact totally disconnected universal algebras are considered. It is shown that if P is a ““basic“ set of injectives in a variety of compact totally disconnected algebras then the category P of P-copresentable objects is in duality with the class of all G-copresentable algebras on P, where G: P â†’ Ens is the forgetful functor and an algebra is taken to mean a finite-product-preserving functor from P to Ens.

Original language	English
Pages (from-to)	475-480
Number of pages	6
Journal	Bulletin of the Australian Mathematical Society
Volume	18
Issue number	3
DOIs	https://doi.org/10.1017/S0004972700008352
Publication status	Published - 1978

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title = "Duality in topological algebra",

abstract = "Aspects of duality relating to compact totally disconnected universal algebras are considered. It is shown that if P is a ““basic“ set of injectives in a variety of compact totally disconnected algebras then the category P of P-copresentable objects is in duality with the class of all G-copresentable algebras on P, where G: P {\^a}†{\textquoteright} Ens is the forgetful functor and an algebra is taken to mean a finite-product-preserving functor from P to Ens.",

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AB - Aspects of duality relating to compact totally disconnected universal algebras are considered. It is shown that if P is a ““basic“ set of injectives in a variety of compact totally disconnected algebras then the category P of P-copresentable objects is in duality with the class of all G-copresentable algebras on P, where G: P â†’ Ens is the forgetful functor and an algebra is taken to mean a finite-product-preserving functor from P to Ens.

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Duality in topological algebra

Abstract

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