The semiring of topologizing filters of a ring

DOI10.1007/BF02772572zbMath0643.16013MaRDI QIDQ1101817

Harold Simmons

Publication date: 1988

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

closure operatorlattice of right idealspre-nucleusGabriel filtersrespectful nucleitopologizing filters

Mathematics Subject Classification ID

Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Galois correspondences, closure operators (in relation to ordered sets) (06A15) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (4)

Multi-contributor causal structures for planning: A formalization and evaluation ⋮ A general approach to gabriel filters on quantales ⋮ Boolean perspectives of idioms and the Boyle derivative ⋮ Gabriel topologies on coherent quantales

Cites Work

• Near-discreteness of modules and spaces as measured by Gabriel and Cantor
• Torsion theoretic points and spaces
• The Gabriel Dimension and Cantor-Bendixson Rank of a Ring
• Des catégories abéliennes
• Injective Structures
• Rings and modules of quotients
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