We study internal profunctors and their normalization under various conditions on the base category. In the Mal'tsev case we give an easy characterization of profunctors. Moreover, when the base category is regular with any regular epimorphism effective for descent, we characterize those profunctors which are fractions of internal functors with respect to weak equivalences. (C) 2012 Elsevier B.V. All rights reserved.

Mantovani, S., Metere, G., Vitale, E. (2013). Profunctors in Mal'tsev categories and fractions of functors. JOURNAL OF PURE AND APPLIED ALGEBRA, 217(7), 1173-1186 [10.1016/j.jpaa.2012.10.015].

Profunctors in Mal'tsev categories and fractions of functors

METERE, Giuseppe;
2013-01-01

Abstract

We study internal profunctors and their normalization under various conditions on the base category. In the Mal'tsev case we give an easy characterization of profunctors. Moreover, when the base category is regular with any regular epimorphism effective for descent, we characterize those profunctors which are fractions of internal functors with respect to weak equivalences. (C) 2012 Elsevier B.V. All rights reserved.
2013
Settore MAT/02 - Algebra
Mantovani, S., Metere, G., Vitale, E. (2013). Profunctors in Mal'tsev categories and fractions of functors. JOURNAL OF PURE AND APPLIED ALGEBRA, 217(7), 1173-1186 [10.1016/j.jpaa.2012.10.015].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/74834
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