Bourbaki's theorem and prime ideals

DOI10.1016/0021-8693(80)90129-5zbMath0467.13004OpenAlexW2024578277MaRDI QIDQ1155675

Matthew P. Miller

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-8693(80)90129-5

zbMATH Keywords

reflexive modulesnormal domainfree submodulecondition Rncondition Sn+1finitely generated torsion-free moduleprime Bourbaki ideals

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Other special types of modules and ideals in commutative rings (13C13)

Related Items

Generating absolute prime ideals ⋮ An alternating matrix and a vector, with application to Aluffi algebras ⋮ Sally’s question and a conjecture of shimoda ⋮ Noncomplete intersection prime ideals in dimension 3 ⋮ Pathology in divisor class groups of hypersurfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the unboundedness of generators of prime ideals in powerseries rings of three variables
• 'Jede' endliche freie Auflösung ist freie Auflösung eines von drei Elementen erzeugten Ideals
• Bourbaki's theorem and algebraic K-theory
• Eine Charakterisierung der \((R_k,S_{k+1})\)-Ringe
• Die Sätze von Bertini für lokale Ringe
• On Prime Ideals with Generic Zero x i = t n i
• Local Cohomology Modules for Normal Domains
• Stable module theory
• Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci
• SOME REMARKS ON THE THEORY OF IDEALS DEFINED BY MATRICES