On the categorical behaviour of preordered groups

DOI10.1016/j.jpaa.2019.01.006zbMath1468.18012OpenAlexW2913176029MaRDI QIDQ2001388

Nelson Martins-Ferreira, Maria Manuel Clementino, Andrea Montoli

Publication date: 3 July 2019

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

Full work available at URL: http://hdl.handle.net/10316/89416

zbMATH Keywords

positive coneprotomodular objectpreordered group\(S\)-protomodular category

Mathematics Subject Classification ID

Nonabelian homological algebra (category-theoretic aspects) (18G50) Ordered semigroups and monoids (06F05) Ordered groups (06F15) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Related Items (10)

Torsion theories and coverings of \(V\)-groups ⋮ Monoids with quantale-valued preorders: globalizations and localizations ⋮ On split extensions of preordered groups ⋮ Pretorsion theories in general categories ⋮ Unnamed Item ⋮ On the categorical behaviour of \(V\)-groups ⋮ On lax protomodularity for \(\mathsf{Ord}\)-enriched categories ⋮ Torsion theories and coverings of preordered groups ⋮ Schreier split extensions of preordered monoids ⋮ A unified classification theorem for Mal'tsev-like categories

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