Majority categories

zbMath1411.18002arXiv1902.03050MaRDI QIDQ4631634

Michael Hoefnagel

Publication date: 16 April 2019

Full work available at URL: https://arxiv.org/abs/1902.03050

zbMATH Keywords

latticeMal'tsev categorymajority termmajority algebraarithmetical categoryinternal relationmajority categoryprotoarithmetical category

Mathematics Subject Classification ID

Equational logic, Mal'tsev conditions (08B05) Preorders, orders, domains and lattices (viewed as categories) (18B35) Varieties of lattices (06B20) Definitions and generalizations in theory of categories (18A05) Categories and theories (18C99) Categories of spans/cospans, relations, or partial maps (18B10)

Related Items (11)

Facets of congruence distributivity in Goursat categories ⋮ \(\mathcal{M}\)-coextensive objects and the strict refinement property ⋮ Unnamed Item ⋮ On stability of exactness properties under the pro-completion ⋮ A class of exactness properties characterized via left Kan extensions ⋮ The matrix taxonomy of finitely complete categories ⋮ Anticommutativity and the triangular lemma ⋮ On linear exactness properties ⋮ Characterizations of majority categories ⋮ Matrix taxonomy and Bourn localization ⋮ Products and coequalizers in pointed categories

Cites Work

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• Diagram chasing in Mal'cev categories
• Subtractive categories
• Introduction to extensive and distributive categories
• Affine categories and naturally Mal'cev categories
• Intrinsic centrality and associated classifying properties
• Arithmetical categories and commutator theory
• Mal'cev categories and fibration of pointed objects
• Closedness properties of internal relations. IV: Expressing additivity of a category via subtractivity
• Die primitiven Klassen arithmetischer Ringe
• Exact categories and categories of sheaves
• Mal'tsev objects, $R_1$-spaces and ultrametric spaces
• Implicative Semi-Lattices
• Distributivity and Permutability of Congruence Relations in Equational Classes of Algebras
• A ternary operation in distributive lattices

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