Rings with krull dimension one

DOI10.1080/00927879808826266zbMath0908.16020OpenAlexW1987510562MaRDI QIDQ3838332

Ahmad Shamsuddin

Publication date: 12 January 1999

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

Full work available at URL: https://doi.org/10.1080/00927879808826266

zbMATH Keywords

domainsJacobson radicalsimple ringsprojective idealsaffine algebrashereditary ringsleft Noetherian ringsKrull dimension one\(J\)-adic topology

Mathematics Subject Classification ID

Infinite-dimensional and general division rings (16K40) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Jacobson radical, quasimultiplication (16N20) Noetherian rings and modules (associative rings and algebras) (16P40)

Cites Work

• A nil implies nilpotent theorem for left ideals
• Flatness, LCM-stability, and related module-theoretic properties
• Duality over Noetherian rings with a Morita duality
• Global dimension of rings with krull dimension
• Free Associative Algebras
• Primringe mit Krull-Dimension Eins.
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