Associated Prime Ideals in Non-Noetherian Rings

DOI10.4153/CJM-1984-021-6zbMath0562.13004MaRDI QIDQ5187383

David E. Rush, Juana Iroz

Publication date: 1984

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

associated prime idealseminormalitypolynomial gradeNagata primesstrong Krull primesweak Bourbaki primes

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items

On seminoetherian rings and modules, A closer look at primal and pseudo-irreducible ideals with applications to rings of functions, The Zariski-Riemann Space of Valuation Rings, Graded Prime Ideals Attached to a Group Graded Module, Group graded associated ideals with flat base change of rings and short exact sequences, Ascending the divided and going-down properties by absolute flatness, The Development of Non-Noetherian Grade and Its Applications, Rings that are Egyptian with respect to a multiplicative set, Dimension and singularity theory for local rings of finite embedding dimension, Injective modules and torsion functors*, Strong Krull primes and flat modules, The Ohm–Rush content function II. Noetherian rings, valuation domains, and base change, Overrings of two-dimensional noetherian domains representable by noetherian spaces of valuation rings, Commutative ideal theory without finiteness conditions: Primal ideals, Weak Bourbaki unmixed rings: a step towards non-noetherian Cohen-Macaulayness., Unique irredundant intersections of completely irreducible ideals, Height theorems and unmixedness for finitely generated algebras over zero-dimensional rings, Commutative ideal theory without finiteness conditions: Completely irreducible ideals, NOETHERIAN SPECTRUM ON RINGS AND MODULES