Ideals contracted from a Noetherian extension ring

DOI10.1016/0022-4049(82)90009-3zbMath0495.13002OpenAlexW2066445115MaRDI QIDQ1169516

Robert Gilmer, William J. Heinzer

Publication date: 1982

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(82)90009-3

zbMATH Keywords

Krull domainN-ringNoetheriannessArtinian extensionN-domainNoetherian ring extensionstrongly Laskerian

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15) Extension theory of commutative rings (13B02) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items (20)

When Is (K + I,K[y₁,…,y_t) a Mori Pair?] ⋮ Some Results on Finitely Laskerian Rings ⋮ Subrings of \(K[y_ 1,\dots ,y_ t\) of the type \(D+I\)] ⋮ Laskerian pairs ⋮ Coherent mori domains and the principal ideal theorem ⋮ A characterisation of local \(N\)-rings and an application to abstract harmonic analysis ⋮ Ideals contracted from 1-dimensional overrings with an application to the primary decomposition of ideals ⋮ Noetherian properties in monoid rings. ⋮ The Laskerian property in commutative rings ⋮ Every local ring is dominated by a one-dimensional local ring ⋮ COMPLEMENT OF THE ZERO DIVISOR GRAPH OF A LATTICE ⋮ On Primary Ideals in Posets ⋮ On the complement of a graph associated with the set of all nonzero annihilating ideals of a commutative ring ⋮ SOME RESULTS ON THE COMPLEMENT OF THE ZERO-DIVISOR GRAPH OF A COMMUTATIVE RING ⋮ Nonnil-Laskerian rings ⋮ Example of an interpolation domain ⋮ Primary ideals with finitely generated radical in a commutative ring ⋮ N-rings and ACC on colon ideals ⋮ When is an N-ring Noetherian? ⋮ Artinian modules and modules of which all proper submodules are finitely generated

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• Ideals contracted from each extension ring
• Two Notes on Locally Macaulay Rings
• Locally Noetherian Commutative Rings
• On the Noetherian-like rings of E. G. Evans

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