Regular and normal closure operators and categorical compactness for groups

DOI10.1007/BF00878444zbMath0835.20071OpenAlexW2003506805MaRDI QIDQ1899875

Temple H. Fay, Gary Lee Walls

Publication date: 4 February 1996

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

Full work available at URL: https://doi.org/10.1007/bf00878444

zbMATH Keywords

torsion-free Abelian groupsepireflective subcategoryvarietiescategory of groups\(\mathbf A\)-normal closure\(\mathbf A\)-normal compact groups\(\mathbf A\)-reflections\(c\)-closed subgroupsclosure-operatorsregular closures

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Quasivarieties and varieties of groups (20E10) Homological and categorical methods for abelian groups (20K40) Category of groups (20J15) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items (5)

\(c\)-compactness in locally compact groups and paratopological groups ⋮ Unnamed Item ⋮ CONNECTEDNESS, DISCONNECTEDNESS AND CLOSURE OPERATORS: FURTHER RESULTS ⋮ \(\overline R\)-groups ⋮ CONNECTEDNESS AND DISCONNECTEDNESS: A DIFFERENT PERSPECTIVE

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• COMPLETIONS AND CATEGORICAL COMPACTNESS FOR NILPOTENT GROUPS
• Categorically compact locally nilpotent groups
• Compact nilpotent groups
• Compact Hausdorff objects

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