Normal subobjects and abelian objects in protomodular categories
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Publication:1570871
DOI10.1006/jabr.1999.8249zbMath0969.18008OpenAlexW2084973715MaRDI QIDQ1570871
Publication date: 2 October 2001
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/304d5948ab89b6896ec3fb69c69fb433fff56c05
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Related Items (33)
Normal subobjects of topological groups and of topological semi-Abelian algebras ⋮ Normal Sections and Direct Product Decompositions ⋮ The stable category of preorders in a pretopos. I: General theory ⋮ Protomodular aspect of the dual of a topos ⋮ Aspects of the category SKB of skew braces ⋮ Directions for the long exact cohomology sequence in Moore categories ⋮ A note on strong protomodularity, actions and quotients ⋮ Normal subalgebras. I ⋮ Complete objects in categories ⋮ Normalities and commutators ⋮ Normalizers and split extensions ⋮ Normality for monoid monomorphisms ⋮ What is an ideal a zero-class of? ⋮ A note on the ``Smith is Huq condition ⋮ On the normality of Higgins commutators ⋮ On the second cohomology group in semi-abelian categories ⋮ Unnamed Item ⋮ A semi-abelian extension of a theorem by Takeuchi ⋮ \(3\times 3\) lemma and protomodularity ⋮ On the direct image of intersections in exact homological categories ⋮ Peri-abelian categories and the universal central extension condition ⋮ Topological semi-abelian algebras ⋮ Aspherical abelian groupoids and their directions ⋮ Semi-abelian categories ⋮ On Pure Quotients and Pure Subobjects ⋮ A Note on the Abelianization Functor ⋮ Bourn-normal monomorphisms in regular Mal'tsev categories ⋮ Central extensions in semi-abelian categories ⋮ Commutators and central extensions in universal algebra ⋮ Intrinsic centrality and associated classifying properties ⋮ The denormalized \(3{\times}3\) lemma ⋮ Semi-localizations of semi-abelian categories ⋮ On the capability of Hom-Lie algebras
Cites Work
- Diagram chasing in Mal'cev categories
- Mal'cev varieties
- Internal categories and groupoids in congruence modular varieties
- Affine categories and naturally Mal'cev categories
- A categorical approach to commutator theory
- Arithmetical categories and commutator theory
- Mal'cev categories and fibration of pointed objects
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