Diagram chasing in Mal'cev categories

From MaRDI portal
Publication:755877

DOI10.1016/0022-4049(91)90022-TzbMath0722.18005OpenAlexW2078588079WikidataQ126296232 ScholiaQ126296232MaRDI QIDQ755877

M. Cristina Pedicchio, Aurelio Carboni

Publication date: 1990

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(91)90022-t




Related Items (only showing first 100 items - show all)

Normal Sections and Direct Product DecompositionsProtomodular aspect of the dual of a toposA torsion theory in the category of cocommutative Hopf algebrasDirections for the long exact cohomology sequence in Moore categoriesSubtractive categories and extended subtractionsBeck-Chevalley condition and Goursat categoriesMaltsev categories and Maltsev operationsA structural aspect of the category of quandlesClosure operators in the category of quandlesTensor envelopes of regular categoriesAdmissible Galois structures and coverings in regular Mal'cev categoriesClosedness properties of internal relations. III: Pointed protomodular categoriesOn congruence modular varieties and Gumm categoriesBaer sums in homological categoriesUnnamed ItemComplete objects in categoriesFacets of congruence distributivity in Goursat categories\(\mathcal{M}\)-coextensive objects and the strict refinement propertyRelative commutator theory in varieties of \(\Omega\)-groupsArithmetical categories and commutator theoryMal'cev categories and fibration of pointed objectsHigher coverings of racks and quandles. IITwo characterisations of groups amongst monoidsCancellative conjugation semigroups and monoidsA new characterisation of groups amongst monoidsNormalities and commutatorsNormalizers and split extensionsWeighted commutators in semi-abelian categoriesAn embedding theorem for regular Mal'tsev categoriesHigher central extensions and cohomologyComprehensive factorization and \(I\)-central extensionsUnnamed ItemSplit short five lemma for clots and subtractive categoriesIncomplete relative semi-Abelian categoriesDescent for regular epimorphisms in Barr exact Goursat categoriesAn axiomatic survey of diagram lemmas for non-abelian group-like structuresWhat is an ideal a zero-class of?A new characterisation of Goursat categoriesVariations of the shifting lemma and Goursat categoriesIntrinsic Schreier-Mac Lane extension theorem. II: The case of action accessible categoriesInternal structures in \(n\)-permutable varietiesA good theory of ideals in regular multi-pointed categoriesOn distributive lattices and weakly Mal'tsev categoriesOn stability of exactness properties under the pro-completionCategorical (binary) difference terms and protomodularitySplit epimorphisms as a productive tool in universal algebraStar-regularity and regular completionsLax monads. Indexed monoidal monadsA class of exactness properties characterized via left Kan extensionsOn the second cohomology group in semi-abelian categoriesRelations in operational categoriesThe matrix taxonomy of finitely complete categoriesOn the ``Smith is Huq condition in \(S\)-protomodular categoriesCentral reflections and nilpotency in exact Mal'tsev categoriesMal’tsev and Lawvere functorsFundamental groupoids for simplicial objects in Mal'tsev categoriesAnticommutativity and the triangular lemmaCommutator theory, action groupoids, and an intrinsic Schreier-Mac Lane extension theoremSemidirect products and split short five lemma in normal categoriesThe cuboid lemma and Mal'tsev categoriesTwo ways to centralizers of equivalence relationsComposites of central extensions form a relative semi-abelian categoryHigher central extensions in Mal'tsev categoriesMal'tsev objects, $R_1$-spaces and ultrametric spacesHagemann's theorem for regular categoriesCentralizer and faithful groupoidOn the direct image of intersections in exact homological categoriesCongruence distributivity in Goursat and Mal'cev categoriesTopological semi-abelian algebrasExtracting a \(\Sigma \)-Mal'tsev \((\Sigma \)-protomodular) structure from a Mal'tsev (protomodular) subcategoryUnnamed ItemPrecrossed modules and Galois theoryA construction of semisimple tensor categoriesUnnamed ItemOn linear exactness propertiesHigher commutator conditions for extensions in Mal'tsev categoriesSchreier split epimorphisms between monoids.A Note on the Abelianization FunctorNew wide classes of weakly Mal'tsev categoriesCharacterizations of majority categoriesA unified classification theorem for Mal'tsev-like categoriesMajority categoriesEmbedding theorems for Janelidze's matrix conditionsNormal subobjects and abelian objects in protomodular categoriesSimplicial homotopy in semi-abelian categoriesCentral extensions and internal groupoids in Maltsev categoriesLeft exact presheaves on a small pretoposCentral extensions in semi-abelian categoriesOn the Naturalness of Mal’tsev CategoriesAspects of Categorical Recursion TheoryIntrinsic centrality and associated classifying propertiesOn the cocartesian image of preorders and equivalence relations in regular categoriesMatrix taxonomy and Bourn localizationThe denormalized \(3{\times}3\) lemmaA symmetric approach to higher coverings in categorical Galois theorySome remarks on Maltsev and Goursat categoriesSemi-localizations of semi-abelian categoriesProducts and coequalizers in pointed categoriesOn 2-star-permutability in regular multi-pointed categoriesSubtractive categories



Cites Work




This page was built for publication: Diagram chasing in Mal'cev categories