UNIFORM FILTERS AND SEMI-COMPATIBILITY

DOI10.1081/AGB-100002417zbMath0987.16022MaRDI QIDQ2747172

Manuel García Román, Alain Verschoren

Publication date: 6 March 2002

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

weak Artin-Rees propertyGabriel filterslocalization functorssemi-compatible filters

Mathematics Subject Classification ID

Associative rings of functions, subdirect products, sheaves of rings (16S60) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Ore rings, multiplicative sets, Ore localization (16U20) Localization and associative Noetherian rings (16P50)

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Cites Work

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• Structure sheaves and noncommutative topologies
• Grothendieck topology, coherent sheaves and Serre's theorem for schematic algebras
• On compatibility
• On Compatibility II
• A Change of Rings Theorem and the Artin-Rees Property
• Rings and modules of quotients