Normalizers and Split Extensions

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• 作者：Dominique Bourn ; James Richard Andrew Gray
• 关键词：Categorical algebra ; Algebraic theory ; Normalizer ; Split extension ; Fibration of points ; Protomodular category ; Mal’tsev category ; Unital category ; Topological algebra ; 18A05 ; 18B99 ; 08C05 ; 08A30 ; 08A99 ; 22A05
• 刊名：Applied Categorical Structures
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：23
• 期：6
• 页码：753-776
• 全文大小：3,082 KB
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• 作者单位：Dominique Bourn (1)
  James Richard Andrew Gray (2)
  
  1. Laboratoire de Mathématiques Pures et Appliquées, Université du Littoral, Bat. H. Poincaré, 50 Rue F. Buisson, BP 699, 62228, Calais Cedex, France
  2. University of South Africa, Pretoria, South Africa
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematical Logic and Foundations
  Theory of Computation
  Convex and Discrete Geometry
  Geometry
  
• 出版者：Springer Netherlands
• ISSN：1572-9095

文摘

We make explicit a larger structural phenomenon hidden behind the existence of normalizers in terms of existence of certain precartesian maps related to the kernel functor. Keywords Categorical algebra Algebraic theory Normalizer Split extension Fibration of points Protomodular category Mal’tsev category Unital category Topological algebra