An order-theoretic perspective on categorial closure operators

DOI10.2989/16073606.2017.1391348zbMath1406.18001OpenAlexW2790016131MaRDI QIDQ3177642

Abdurahman Masoud Abdalla, Zurab Janelidze

Publication date: 1 August 2018

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2017.1391348

zbMATH Keywords

closure operatorfactorization systemtorsion theorymodular law

Mathematics Subject Classification ID

Modular lattices, Desarguesian lattices (06C05) Preorders, orders, domains and lattices (viewed as categories) (18B35) Factorization systems, substructures, quotient structures, congruences, amalgams (18A32) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Cites Work

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• Closure operators and their middle-interchange law
• Algebras of uniformly continuous functions
• Factorization, fibration and torsion
• Closure operators. I
• Factorization systems as Eilenberg-Moore algebras
• Sequences of labeled trees related to Gelfand-Tsetlin patterns
• Dual closure operators and their applications
• Categories of continuous functors. I
• Duality for groups

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