On flat finitely generated ideals

DOI10.1017/S0004972700011357zbMath0409.13002MaRDI QIDQ4196528

David E. Dobbs

Publication date: 1980

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Pruefer DomainFinitely Generated IdealFlat IdealLocally Principal Multiplication Map

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (2)

Flatness, LCM-stability, and related module-theoretic properties ⋮ Modules

Cites Work

• Unnamed Item
• On flat modules over commutative rings
• Generating ideals in Prüfer domains
• Stable rings
• On the number of generators of an invertible ideal
• Direct Products of Modules
• Über die erzeugendenanzahl invertierbarer ideale in prüferringen
• Generalized Quotient Rings
• A Remark on Prufer Rings
• A Module is Flat if and Only if its Character Module is Injective

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