On Bernstein Algebras Satisfying Chain Conditions

DOI10.1080/00927870701327690zbMath1128.17024OpenAlexW4234046664MaRDI QIDQ5308807

Fouad Zitan, Nadia Boudi

Publication date: 8 October 2007

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

Full work available at URL: https://doi.org/10.1080/00927870701327690

zbMATH Keywords

Artinian algebraBernstein algebraArtinian moduleNoetherian algebra

Mathematics Subject Classification ID

Genetic algebras (17D92)

Related Items (2)

Train algebras of rank 3 with finiteness conditions ⋮ Bernstein algebras that are algebraic and the Kurosh problem

Cites Work

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• Nilpotency in Bernstein algebras
• On nuclear Bernstein algebras
• Special Jordan nil algebras of bounded index
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• A criterion for finitely generated Bernstein algebras to be genetic
• Noetherian Jordan Banach algebras are finite-dimensional
• Structure of Bernstein algebras
• Noetherian Banach algebras are finite dimensional
• Indecomposable baric algebras
• Solvabiie jordan algebras
• Genetic Algebras Satisfying Bernstein's Stationarity Principle
• Solvability of the ideal of all weight zero elements in bernstein algebras
• Torsion preradicals and ascending Loewy series of modules.

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