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https://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: | https://hdl.handle.net/10316/89462 | ISSN: | 1201-561X | Rights: | openAccess |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
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Stability properties characterising n-permutable categories_19.pdf | 450.27 kB | Adobe PDF | View/Open |
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