A Note on S-Noetherian Domains

DOI10.5666/KMJ.2015.55.3.507zbMath1329.13006OpenAlexW2394794637MaRDI QIDQ3460301

Jung Wook Lim

Publication date: 7 January 2016

Published in: Kyungpook mathematical journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5666/kmj.2015.55.3.507

zbMATH Keywords

(\(t\)-)locally \(S\)-Noetherian domain(\(t\)-)Nagata ring\(S\)-Noetherian domainfinite (\(t\)-)character

Mathematics Subject Classification ID

Polynomials over commutative rings (13B25) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items (18)

New characterizations of S-coherent rings ⋮ Chain conditions on composite Hurwitz series rings ⋮ ALMOST MULTIPLICATIVE SETS ⋮ An extension of $S$--noetherian rings and modules ⋮ The Cohen type theorem and the Eakin-Nagata type theorem for \(S\)-Noetherian rings revisited ⋮ \(S\)-injective modules ⋮ Eakin-Nagata-Eisenbud theorem for right \(S\)-Noetherian rings ⋮ Characterizing \(S\)-projective modules and \(S\)-semisimple rings by uniformity ⋮ Unnamed Item ⋮ Unnamed Item ⋮ $\mathcal{F}_{\mathcal{S}}$-MITTAG-LEFFLER MODULES AND GLOBAL DIMENSION RELATIVE TO $\mathcal{F}_{\mathcal{S}}$-MITTAG-LEFFLER MODULES ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ THE S-FINITENESS ON QUOTIENT RINGS OF A POLYNOMIAL RING ⋮ Characterizing $S$-flat modules and $S$-von Neumann regular rings by uniformity ⋮ \(S\)-prime ideals of a commutative ring ⋮ An extension of S-artinian rings and modules to a hereditary torsion theory setting

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