Closedness properties of internal relations. III: Pointed protomodular categories

DOI10.1007/S10485-007-9072-9zbMath1124.18002OpenAlexW2030371154MaRDI QIDQ2643607

Zurab Janelidze

Publication date: 27 August 2007

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

Full work available at URL: https://doi.org/10.1007/s10485-007-9072-9

zbMATH Keywords

protomodular categoryclassically ideal determined varietyclosedness property of a relation

Mathematics Subject Classification ID

Equational logic, Mal'tsev conditions (08B05) Categories and theories (18C99)

Related Items (5)

Split short five lemma for clots and subtractive categories ⋮ Categorical (binary) difference terms and protomodularity ⋮ Pointed protomodularity via natural imaginary subtractions ⋮ Embedding theorems for Janelidze's matrix conditions ⋮ Semi-localizations of semi-abelian categories

Cites Work

• Diagram chasing in Mal'cev categories
• Subtractive categories
• On subtractive varieties. I
• Intrinsic centrality and associated classifying properties
• Mal'cev categories and fibration of pointed objects
• Semi-abelian categories
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