On an Essentially Algebraic Theory for Locally Presentable Categories |
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Authors: | Christian Dzierzon |
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Institution: | (1) University of Bremen, Bremen, Germany |
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Abstract: | This paper presents a general construction, defining for each given strong generator in any locally finitely presentable category an essentially algebraic, finitary theory – maximal in a certain sense – such that is equivalent to the category of models of . For regular generators , generalization to the non-finitary case is easily done, and yields a new proof of the famous characterization of many-sorted
quasivarieties. |
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Keywords: | 18C10 18C35 03C05 08A55 08C15 |
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