Some remarks on Maltsev and Goursat categories

From MaRDI portal
Publication:1320341

DOI10.1007/BF00872942zbMath0799.18002OpenAlexW2050717037MaRDI QIDQ1320341

G. M. Kelly, M. Cristina Pedicchio, Aurelio Carboni

Publication date: 5 June 1994

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

Full work available at URL: https://doi.org/10.1007/bf00872942



Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (80)

Normal Sections and Direct Product DecompositionsProtomodular aspect of the dual of a toposA new Galois structure in the category of internal preordersRelative semi-abelian categoriesBeck-Chevalley condition and Goursat categoriesRewriting the elements in the intersection of the kernels of two morphisms between free groupsGalois theory and a general notion of central extensionMaltsev categories and Maltsev operationsTensor envelopes of regular categoriesTorsion theories in homological categoriesAdmissible Galois structures and coverings in regular Mal'cev categoriesThe Zassenhaus lemma in star-regular categoriesUnnamed ItemFacets of congruence distributivity in Goursat categoriesOn factorization systems for surjective quandle homomorphismsArithmetical categories and commutator theoryHigher coverings of racks and quandles. IITwo characterisations of groups amongst monoidsHomology in relative semi-abelian categoriesHigher central extensions and Hopf formulaeNormalizers and split extensionsHigher central extensions and cohomologyComprehensive factorization and \(I\)-central extensionsBarr-exact categories and soft sheaf representationsUnnamed ItemQuadratic functors on pointed categoriesIncomplete relative semi-Abelian categoriesDescent for regular epimorphisms in Barr exact Goursat categoriesAn axiomatic survey of diagram lemmas for non-abelian group-like structuresResolutions, higher extensions and the relative Mal'tsev axiomWhat is an ideal a zero-class of?A new characterisation of Goursat categoriesVariations of the shifting lemma and Goursat categoriesRelative Goursat categoriesRelative commutator theory in semi-abelian categoriesInternal structures in \(n\)-permutable varietiesEffective descent morphisms of regular epimorphismsA good theory of ideals in regular multi-pointed categoriesOn stability of exactness properties under the pro-completionCategorical (binary) difference terms and protomodularityA class of exactness properties characterized via left Kan extensionsUnnamed ItemRelations in operational categoriesThe matrix taxonomy of finitely complete categoriesCentral reflections and nilpotency in exact Mal'tsev categoriesHigher Hopf formulae for homology via Galois theoryFundamental groupoids for simplicial objects in Mal'tsev categoriesThe cuboid lemma and Mal'tsev categoriesComposites of central extensions form a relative semi-abelian categoryHigher central extensions in Mal'tsev categoriesApproximate Hagemann-Mitschke co-operationsHagemann's theorem for regular categoriesSome remarks on internal pregroupoids in varietiesCongruence distributivity in Goursat and Mal'cev categoriesTopological semi-abelian algebrasPrecrossed modules and Galois theoryAlgèbres rationnelles et variétés algébriques sur un corps commutatif quelconqueUniversal central extensions of internal crossed modules via the non-abelian tensor productUnnamed ItemTopological protomodular algebrasSemi-abelian categoriesOn linear exactness propertiesHigher commutator conditions for extensions in Mal'tsev categoriesA note on admissibility of closed Galois structuresMonoidal characterisation of groupoids and connectorsEmbedding theorems for Janelidze's matrix conditionsSimplicial homotopy in semi-abelian categoriesThe subobject decomposition in enveloping tensor categoriesCentral extensions and internal groupoids in Maltsev categoriesLeft exact presheaves on a small pretoposCentral extensions in semi-abelian categoriesProtoadditive functors, derived torsion theories and homologyOn the Naturalness of Mal’tsev CategoriesAn Invitation to Topological Semi-abelian AlgebrasAn Introduction to Regular CategoriesOn the cocartesian image of preorders and equivalence relations in regular categoriesThe denormalized \(3{\times}3\) lemmaCombinatorial categorical equivalences of Dold-Kan typeA symmetric approach to higher coverings in categorical Galois theoryOn 2-star-permutability in regular multi-pointed categories



Cites Work


This page was built for publication: Some remarks on Maltsev and Goursat categories