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Title: Some Remarks on Pullbacks in Gumm Categories
Authors: Gran, Marino 
Rodelo, Diana 
Issue Date: 2014
Publisher: DMUC - Textos de Matemática
Project: info:eu-repo/grantAgreement/FCT/COMPETE/132981/PT 
Serial title, monograph or event: Categorical Methods in Algebra and Topology: Special Volume in Honour of Manuela Sobral
Volume: 46
Abstract: We extend some properties of pullbacks which are known to hold in a Mal'tsev context to the more general context of Gumm categories. The varieties of universal algebras which are Gumm categories are precisely the congruence modular ones. These properties lead to a simple alternative proof of the known property that central extensions and normal extensions coincide for any Galois structure associated with a Birkhoff subcategory of an exact Goursat category.
Rights: openAccess
Appears in Collections:I&D CMUC - Livros e Capítulos de Livros

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