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Beck–Chevalley condition and Goursat categories.
- Source :
-
Journal of Pure & Applied Algebra . Oct2017, Vol. 221 Issue 10, p2445-2457. 13p. - Publication Year :
- 2017
-
Abstract
- We characterise regular Goursat categories through a specific stability property of regular epimorphisms with respect to pullbacks. Under the assumption of the existence of some pushouts this property can be also expressed as a restricted Beck–Chevalley condition, with respect to the fibration of points, for a special class of commutative squares. In the case of varieties of universal algebras these results give, in particular, a structural explanation of the existence of the ternary operations characterising 3-permutable varieties of universal algebras. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00224049
- Volume :
- 221
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Journal of Pure & Applied Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 122880503
- Full Text :
- https://doi.org/10.1016/j.jpaa.2016.12.031