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https://hdl.handle.net/10316/89489
Title: | A criterion for reflectiveness of normal extensions | Authors: | Montoli, Andrea Rodelo, Diana Van der Linden, Tim |
Keywords: | Categorical Galois theory; admissible Galois structure; central, normal, trivial extension; S-protomodular category; unital category; abelian object. | Issue Date: | 2016 | Publisher: | Belgium Mathematical Society - Project Euclides | Project: | UID/MAT/00324/2013 | Serial title, monograph or event: | Bulletin of the Belgian Mathematical Society - Simon Stevin | Volume: | 23 | Issue: | 5 | Abstract: | We give a new sufficient condition for the normal extensions in an admissible Galois structure to be reflective. We then show that this condition is indeed fulfilled when X is the (protomodular) reflective subcategory of S-special objects of a Barr-exact S-protomodular category C, where S is the class of split epimorphic trivial extensions in C. Next to some concrete examples where the criterion may be applied, we also study the adjunction between a Barr-exact unital category and its abelian core, which we prove to be admissible. | URI: | https://hdl.handle.net/10316/89489 | DOI: | 10.36045/bbms/1483671620 | Rights: | embargoedAccess |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
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criterion-formato-article.pdf | 441.98 kB | Adobe PDF | View/Open |
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