Profunctors in Mal'tsev categories and fractions of functors

Giuseppe Metere, Enrico M. Vitale, Sandra Mantovani, Giuseppe Metere

Research output: Contribution to journalArticle

6 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)1173-1186
Number of pages14
JournalJournal of Pure and Applied Algebra
Volume217
Publication statusPublished - 2013

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Functor
Internal
Epimorphism
Descent
Normalization
Equivalence

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

Metere, G., Vitale, E. M., Mantovani, S., & Metere, G. (2013). Profunctors in Mal'tsev categories and fractions of functors. Journal of Pure and Applied Algebra, 217, 1173-1186.

Profunctors in Mal'tsev categories and fractions of functors. / Metere, Giuseppe; Vitale, Enrico M.; Mantovani, Sandra; Metere, Giuseppe.

In: Journal of Pure and Applied Algebra, Vol. 217, 2013, p. 1173-1186.

Research output: Contribution to journalArticle

Metere, G, Vitale, EM, Mantovani, S & Metere, G 2013, 'Profunctors in Mal'tsev categories and fractions of functors', Journal of Pure and Applied Algebra, vol. 217, pp. 1173-1186.
Metere, Giuseppe ; Vitale, Enrico M. ; Mantovani, Sandra ; Metere, Giuseppe. / Profunctors in Mal'tsev categories and fractions of functors. In: Journal of Pure and Applied Algebra. 2013 ; Vol. 217. pp. 1173-1186.
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