Noetherian-like properties and zero-dimensionality in some extensions of rings

DOI10.1007/s13370-023-01083-3zbMath1524.13017OpenAlexW4382654089MaRDI QIDQ6115487

Ali Tamoussit, Hwankoo Kim, Omar Ouzzaouit

Publication date: 12 July 2023

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-023-01083-3

zbMATH Keywords

zero-dimensionalNagata ringamalgamation of ringstrivial ring extensionlocally NoetherianSerre ringstrongly 0-dimensional\(Q\)-Noetherian\(Q\)-strongly 0-dimensionallocally \(Q\)-Noetherian

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Chain conditions, finiteness conditions in commutative ring theory (13E99) Commutative ring extensions and related topics (13B99)

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