Every Noetherian uniformly coherent ring has dimension at most 2

DOI10.1215/KJM/1250521559zbMath0533.13005OpenAlexW1962785298MaRDI QIDQ789449

Shiro Goto

Publication date: 1983

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250521559

zbMATH Keywords

local ringNoetherian ringnumber of generators of idealstwo dimensional ringuniformly coherent commutative ring

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Local rings and semilocal rings (13H99)

Related Items (2)

Index of reducibility of parameter ideals in a local ring ⋮ Linear equations over noncommutative graded rings.

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