Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/89464
Title: | Beck–Chevalley condition and Goursat categories | Authors: | Gran, Marino Rodelo, Diana |
Issue Date: | 2017 | Publisher: | Elsevier | Project: | UID/MAT/00324/2013 info:eu-repo/grantAgreement/FCT/5876/147205/PT |
Serial title, monograph or event: | Journal of Pure and Applied Algebra | Volume: | 221 | Issue: | 10 | 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. | URI: | https://hdl.handle.net/10316/89464 | DOI: | 10.1016/j.jpaa.2016.12.031 | Rights: | openAccess |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
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arXiv version B_CGC.pdf | 204.27 kB | Adobe PDF | View/Open |
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