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Characterization of left coextensive varieties of universal algebras
Theory and applications of categories, Tome 34 (2019), pp. 1036-1038

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An extensive category can be defined as a category C with finite coproducts such that for each pair X,Y of objects in C, the canonical functor $+ : C/X \times C/Y \to C/(X + Y)$ is an equivalence. We say that a category C with finite products is left coextensive if the dual canonical functor $\times : X/C \times Y/C \to (X \times Y)/C$ is fully faithful. We then give a syntactical characterization of left coextensive varieties of universal algebras.

Publié le :
Classification : 18A30, 08B05
Keywords: Coextensivity, Universal Algebra, Syntactic Characterization 
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     author = {David Neal Broodryk},
     title = {Characterization of left coextensive varieties of universal algebras},
     journal = {Theory and applications of categories},
     pages = {1036--1038},
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     volume = {34},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2019_34_a31/}
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David Neal Broodryk. Characterization of left coextensive varieties of universal algebras. Theory and applications of categories, Tome 34 (2019), pp. 1036-1038. http://geodesic.mathdoc.fr/item/TAC_2019_34_a31/