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Baer sums in homological categories
- Source :
- Journal of Algebra. 308(1):414-443
- Publication Year :
- 2007
- Publisher :
- Elsevier BV, 2007.
-
Abstract
- We give a unified treatment of the Baer sums in the context of efficiently homological categories which, on the one hand, contains any category of groups with multiple operators and more generally any semi-abelian variety and, on the other hand, the category of Hausdorff groups and more generally any category of semi-abelian Hausdorff algebras. This gives rise to a generalized “Euclide's Postulate” and a five terms exact sequence.
- Subjects :
- Discrete mathematics
Exact sequence
Pure mathematics
Algebra and Number Theory
Category of groups
Baer sum
Topological group
Protomodular, additive and homological categories
Chain complex
Mathematics::Category Theory
Homological algebra
Five lemma
Regular category
Abelian category
Variety (universal algebra)
Topological semi-abelian algebra
Mathematics
Subjects
Details
- ISSN :
- 00218693
- Volume :
- 308
- Issue :
- 1
- Database :
- OpenAIRE
- Journal :
- Journal of Algebra
- Accession number :
- edsair.doi.dedup.....730105865c085c4c5bfb54c0e2d3a55f
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2006.07.022