Anticommutativity and the triangular lemma

DOI10.1007/s00012-021-00710-zzbMath1498.08005arXiv2008.00486OpenAlexW3126266633WikidataQ125016874 ScholiaQ125016874MaRDI QIDQ1996098

Michael Hoefnagel

Publication date: 3 March 2021

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.00486

zbMATH Keywords

congruence distributivityanticommutativityshifting lemmadirectly decomposable congruence classesmajority categoriestriangular lemma

Mathematics Subject Classification ID

Equational logic, Mal'tsev conditions (08B05) Congruence modularity, congruence distributivity (08B10) Protomodular categories, semi-abelian categories, Mal'tsev categories (18E13)

Related Items (3)

Unnamed Item ⋮ The matrix taxonomy of finitely complete categories ⋮ Matrix taxonomy and Bourn localization

Cites Work

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• Diagram chasing in Mal'cev categories
• Subtractive categories
• Introduction to extensive and distributive categories
• Internal categories and groupoids in congruence modular varieties
• Congruence join semidistributivity is equivalent to a congruence identity.
• Centrality and connectors in Maltsev categories.
• Intrinsic centrality and associated classifying properties
• Arithmetical categories and commutator theory
• Mal'cev categories and fibration of pointed objects
• Facets of congruence distributivity in Goursat categories
• \(\mathcal{M}\)-coextensive objects and the strict refinement property
• Characterizations of majority categories
• On difunctionality of class relations
• Exact categories and categories of sheaves
• The triangular principle is equivalent to the triangular scheme
• Geometrical methods in congruence modular algebras
• Varieties having directly decomposable congruence classes
• Some remarks on internal pregroupoids in varieties
• Majority categories
• The shape of congruence lattices
• Products and coequalizers in pointed categories
• Implicative Semi-Lattices
• COMMUTATOR, NILPOTENCY, AND SOLVABILITY IN CATEGORIES
• Congruence Relations in Direct Products

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