Abstract
We show that the class of effective descent morphisms coincides with the class of regular epimorphisms in suitable categories of internal structures in an exact category. In particular this applies to quasivarieties of (ordinary) first-order structures closed under strong homomorphic images.
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Janelidze, G. and Sobral, M.: Finite preorders and topological descent I, J. Pure Appl. Algebra 175 (2002), 187–205.
Janelidze, G. and Tholen, W.: Facets of descent I, Appl. Categ. Structures 2 (1994), 245–281.
Janelidze, G., Sobral, M. and Tholen, W.: Beyond barr exacteness: Effective descent morphisms, in: Categorical Foundations. Special Topics in Order, Topology, Algebra and Sheaf Theory, Cambridge University Press, to appear.
Mal'cev, A. I.: Algebraic Systems, Springer-Verlag, 1973.
Roque, A. H.: Ph.D. thesis, in preparation.
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Roque, A.H. Effective Descent Morphisms in Some Quasivarieties of Algebraic, Relational, and More General Structures. Applied Categorical Structures 12, 513–525 (2004). https://doi.org/10.1023/B:APCS.0000049315.77402.40
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DOI: https://doi.org/10.1023/B:APCS.0000049315.77402.40