An axiomatic survey of diagram lemmas for non-abelian group-like structures
From MaRDI portal
Publication:1950640
DOI10.1016/j.jalgebra.2012.07.029zbMath1277.18015OpenAlexW2161101157WikidataQ124801772 ScholiaQ124801772MaRDI QIDQ1950640
Publication date: 13 May 2013
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2012.07.029
\(3\times 3\) lemmasnake lemmaexact sequencenormal categorysubtractive varietydiagram chasingsubtractive categoryideal-determined variety
Related Items (4)
The snail lemma in a pointed regular category ⋮ Duality in non-abelian algebra. III. Normal categories and 0-regular varieties ⋮ On the form of subobjects in semi-abelian and regular protomodular categories ⋮ A Note on the Abelianization Functor
Cites Work
- A note on the five lemma
- A good theory of ideals in regular multi-pointed categories
- Categorical (binary) difference terms and protomodularity
- Topological semi-abelian algebras
- Diagram chasing in Mal'cev categories
- Ideals in universal algebras
- Subtractive categories
- Subtractive categories and extended subtractions
- Pointed protomodularity via natural imaginary subtractions
- Mal'cev varieties
- On subtractive varieties. I
- Some remarks on Maltsev and Goursat categories
- \(3 \times 3\) lemma for star-exact sequences
- Protomodular aspect of the dual of a topos
- Exact categories and categories of sheaves
- A Note on the Abelianization Functor
- Groups with Multiple Operators
- IDEAL DETERMINED VARIETIES HAVE UNBOUNDED DEGREES OF PERMUTABILITY
- On the general theory of algebraic systems
- VARIETIES OF UNIVERSAL ALGEBRAS WITH IDEALS
- Duality for groups
- Homology
- \(3\times 3\) lemma and protomodularity
- Semi-abelian categories
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: An axiomatic survey of diagram lemmas for non-abelian group-like structures
