Prime ideals and finiteness conditions for Gabriel topologies over commutative rings

DOI10.1216/rmjm/1181072739zbMath0772.13007OpenAlexW2088277016MaRDI QIDQ1201195

Morris Orzech, Beattie, Margaret

Publication date: 17 January 1993

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072739

zbMATH Keywords

prime idealsfiniteness conditionsGabriel topologies

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15) Topological rings and modules (13J99) Topological fields, rings, etc. (topological aspects) (54H13)

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Sur une classe d'anneaux de prüfer avec groupe de classes de torsion

Cites Work

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• Torsion theories over commutative rings
• Localizations of torsion theories
• Exact sequences for relative Brauer groups and Picard groups
• Finiteness conditions on filters of left ideals
• Commutative Torsion Theory
• The topology of torsion classes
• A Compactness Property for Prime Ideals in Noetherian Rings
• A Covering Condition for Prime Ideals
• Rings and modules of quotients