A proof that commutative artinian rings are noetherian

DOI10.1080/00927879508825494zbMath0838.13011OpenAlexW2139608184MaRDI QIDQ4852272

Christian Gottlieb

Publication date: 3 December 1995

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

Full work available at URL: http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-93852

zbMATH Keywords

Krull dimensionNoetherian dimensionan Artinian commutative ring is Noetherian

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Cites Work

• Unnamed Item
• Rings with minimal condition for left ideals
• Commutative rings with restricted minimum condition
• KRULL DIMENSION FOR ARTINIAN MODULES OVER QUASI LOCAL COMMUTATIVE RINGS
• DIMENSION AND LENGTH FOR ARTINIAN MODULES

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