On algebraic and more general categories whose split epimorphisms have underlying product projections

DOI10.1007/s10485-013-9336-5zbMath1330.18006arXiv1208.2032OpenAlexW2072550280MaRDI QIDQ2350321

James Richard Andrew Gray, Nelson Martins-Ferreira

Publication date: 19 June 2015

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

Full work available at URL: https://arxiv.org/abs/1208.2032

zbMATH Keywords

split extensionsunitalprotomodularforgetful functorssplit epimorphismssemi-abeliansubtractiveequational categories

Mathematics Subject Classification ID

Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Equational categories (18C05)

Related Items

Semidirect products of (topological) semi-abelian algebras ⋮ Weakly Schreier extensions for general algebras ⋮ An Invitation to Topological Semi-abelian Algebras

Cites Work

• Subtractive categories
• On subtractive varieties. I
• Mal'cev categories and fibration of pointed objects
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