On the form of subobjects in semi-abelian and regular protomodular categories

DOI10.1007/s10485-013-9355-2zbMath1309.18008OpenAlexW164648126WikidataQ123197295 ScholiaQ123197295MaRDI QIDQ2254581

Zurab Janelidze

Publication date: 5 February 2015

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10485-013-9355-2

zbMATH Keywords

Galois connectionprotomodular categoryregular categorysemi-abelian categoryGrothendieck fibrationtopological theoryfive lemmaformtopological functorideal of null morphismsCartesian natural transformationsemiexact category

Mathematics Subject Classification ID

Nonabelian homological algebra (category-theoretic aspects) (18G50) Fibered categories (18D30) Equational logic, Mal'tsev conditions (08B05) Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Galois correspondences, closure operators (in relation to ordered sets) (06A15) Categories and theories (18C99) Generalizations of ordered sets (06A75)

Related Items (7)

Duality in non-abelian algebra. II: From Isbell bicategories to Grandis exact categories ⋮ Unnamed Item ⋮ Duality in non-abelian algebra. IV. Duality for groups and a universal isomorphism theorem ⋮ Salamander lemma for non-abelian group-like structures ⋮ Unnamed Item ⋮ Duality in non-abelian algebra. III. Normal categories and 0-regular varieties ⋮ Epireflective subcategories and formal closure operators

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