A class of exactness properties characterized via left Kan extensions
DOI10.1016/J.JPAA.2021.106784zbMath1471.18010OpenAlexW3174872303MaRDI QIDQ1979316
Publication date: 2 September 2021
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jpaa.2021.106784
strong epimorphismapproximate operationessentially algebraic category Mal'tsev conditionexactness property Kan extension
Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Equational logic, Mal'tsev conditions (08B05) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Partial algebras (08A55) Sketches and generalizations (18C30) Protomodular categories, semi-abelian categories, Mal'tsev categories (18E13)
Cites Work
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- Categorical (binary) difference terms and protomodularity
- Diagram chasing in Mal'cev categories
- Subtractive categories
- Some remarks on Maltsev and Goursat categories
- An embedding theorem for regular Mal'tsev categories
- Mal'cev categories and fibration of pointed objects
- On linear exactness properties
- On stability of exactness properties under the pro-completion
- On \(n\)-permutable congruences
- Embedding theorems for Janelidze's matrix conditions
- Closedness properties of internal relations. V: Linear Mal'tsev conditions
- Exact categories and categories of sheaves
- Lokal präsentierbare Kategorien. (Locally presentable categories)
- Kan extensions in enriched category theory
- Involution-rigidness — a new exactness property, and its weak version
- Majority categories
- Products and coequalizers in pointed categories
- On the general theory of algebraic systems
- VARIETIES OF UNIVERSAL ALGEBRAS WITH IDEALS
- \(3\times 3\) lemma and protomodularity
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