Non-noetherian versions of some conjectures by eisenbud-evans

DOI10.1080/00927879008824013zbMath0717.13008OpenAlexW2079822781MaRDI QIDQ3204582

C. Naudé

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/00927879008824013

zbMATH Keywords

dimensionpolynomial ringgenerating setsarithmetical ring

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (3)

Projective modules and orbit space of unimodular rows over discrete Hodge algebras over a non-Noetherian ring ⋮ Basic elements and generating sets for projective modules over non-noetherian polynomial rings ⋮ On the number of generators of finitely presented modules over polynomial rings

Cites Work

• Unnamed Item
• The minimal prime spectrum of a reduced ring
• Some results about modules over discrete Hodge algebras
• Generating non-Noetherian modules efficiently
• Projective modules over R[\(X_ 1,\)\dots ,X//n, R a Prüfer domain]
• On two conjectures about polynomial rings
• Generating modules efficiently: Theorems from algebraic K-theory
• The Conjectures of Eisenbud and Evans

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