Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/89462
Title: Stability properties characterising n-permutable categories
Authors: Jacqmin, Pierre-Alain
Rodelo, Diana 
Keywords: Mal'tsev category; Goursat category; n-permutable category; embedding theorem; unconditional exactness property
Issue Date: 2017
Publisher: Mount Allison University
Project: UID/MAT/00324/2013 
Serial title, monograph or event: Theory and Applications of Categories
Volume: 32
Issue: 45
Abstract: The purpose of this paper is two-fold. A first and more concrete aim is to characterise n-permutable categories through certain stability properties of regular epimorphisms. These characterisations allow us to recover the ternary terms and the (n+1)-ary terms describing n-permutable varieties of universal algebras. A second and more abstract aim is to explain two proof techniques, by using the above characterisation as an opportunity to provide explicit new examples of their use: - an embedding theorem for n-permutable categories which allows us to follow the varietal proof to show that an n-permutable category has certain properties; - the theory of unconditional exactness properties which allows us to remove the assumption of the existence of colimits, in particular when we use the approximate co-operations approach to show that a regular category is n-permutable.
URI: http://hdl.handle.net/10316/89462
ISSN: 1201-561X
Rights: openAccess
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais

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