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Characterization of coextensive varieties of universal algebras
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Description: |
A coextensive category can be defined as a category C with finite products such that for each pair X,Y of objects in C, the canonical functor ×:X/C×Y/C→(X×Y)/C is an equivalence. This is the dual of an extensive category, a term that was first used by W. F. Lawvere and S.Schanuel, although "categories with disjoint and universal coproducts" were considered by A. Grothendieck a long time ago, and there are related papers of various authors. A motivating example of a coextensive category is the category CRing of commutative rings, which leads one to ask which varieties of universal algebras are coextensive. In this talk we answer this question by giving a syntactical characterization of coextensive varieties of universal algebras.
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Date: |
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| Start Time: |
16:00 |
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Speaker: |
David Neal Broodryk (University of Cape Town, South Africa)
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Institution: |
University of Cape Town
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| Research Groups: |
-Algebra, Logic and Topology
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See more:
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