Extracting a \(\Sigma \)-Mal'tsev \((\Sigma \)-protomodular) structure from a Mal'tsev (protomodular) subcategory
DOI10.1007/s10485-019-09568-8zbMath1452.18002OpenAlexW2946304712MaRDI QIDQ2011379
Publication date: 6 December 2019
Published in: Applied Categorical Structures (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10485-019-09568-8
associated partial structuresMal'tsev varieties and categoriesprotomodular varieties and categoriesreflections and reg-epi reflections
Equational logic, Mal'tsev conditions (08B05) Abelian categories, Grothendieck categories (18E10) Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Equational categories (18C05) Categories of algebras (08C05) Factorization systems, substructures, quotient structures, congruences, amalgams (18A32) Connections of group theory with homological algebra and category theory (20Jxx)
Related Items
Cites Work
- Monoids and pointed \(S\)-protomodular categories
- Central reflections and nilpotency in exact Mal'tsev categories
- Diagram chasing in Mal'cev categories
- A classifying invariant of knots, the knot quandle
- Mal'cev varieties
- On subtractive varieties. I
- Galois theory and a general notion of central extension
- On localization and stabilization for factorization systems
- Affine categories and naturally Mal'cev categories
- Central extensions and internal groupoids in Maltsev categories
- The denormalized \(3{\times}3\) lemma
- Mal'cev categories and fibration of pointed objects
- The \(3 \times 3\) lemma in the \(\Sigma\)-Mal'tsev and \(\Sigma\)-protomodular settings: applications to monoids and quandles
- A characterization of central extensions in the variety of quandles
- A structural aspect of the category of quandles
- DISTRIBUTIVE GROUPOIDS IN KNOT THEORY
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
