Duality in Noetherian integral domains

DOI10.1216/rmjm/1181071650zbMath0940.13016OpenAlexW1998622758MaRDI QIDQ1806238

H. Pat Goeters

Publication date: 3 February 2000

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

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/Vol29-2/CONT29-2/CONT29-2.html

zbMATH Keywords

Noetherian domaintwo-generated idealWarfield duality

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Integral domains (13G05) Commutative rings and modules of finite generation or presentation; number of generators (13E15)

Related Items (2)

Noetherian stable domains ⋮ Reflexive rings and subrings of a product of Dedekind domains

Cites Work

• Injective modules over Noetherian rings
• On Jónsson algebras over a commutative ring
• Warfield domains
• Finite rank torsion free Abelian groups and rings
• Duality and self-reflexive torsion-free Abelian groups
• An extension of Warfield duality for abelian groups
• Intersections of quotient rings of an integral domain
• Homomorphisms and duality for torsion-free groups
• Reflexive domains
• The two-generator problem for ideals
• Extensions of torsion-free Abelian groups of finite rank
• 1-dimensional Cohen-Macaulay rings
• On the ubiquity of Gorenstein rings
• Torsion Free and Projective Modules
• Quasi-Pure Injective and Projective Torsion-Free Abelian Groups of Finite Rank
• Cobalanced torsion-free abelian groups
• Injective Dimension in Noetherian Rings
• Integral domains in which each non‐zero ideal is divisorial
• Duality in Noetherian Rings
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