A study in Krull dimension

DOI10.1016/0021-8693(73)90083-5zbMath0255.16011OpenAlexW2047656621MaRDI QIDQ2558513

Alfred Goldie, Lance W. Small

Publication date: 1973

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(73)90083-5

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items

Nil ideals in rings with finite Krull dimension, Primary decomposition in right noetherian rings, Krull dimension-nilpotency and Gabriel dimension, Some recent developments in ring theory, Artinian quotient rings of FBN rings

Cites Work

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• Ideaux premiers de l'algèbre enveloppante d'une algèbre de Lie nilpotente
• On the Krull-dimension of left noetherian left Matlis-rings
• Krull dimension and global dimension of simple Ore-extensions
• On fully left bounded left Noetherian rings
• Zero Divisors in Noetherian-Like Rings