Train algebras of rank 3 with finiteness conditions

DOI10.1016/j.laa.2009.04.006zbMath1206.17023OpenAlexW2128421829MaRDI QIDQ1030772

Fouad Zitan

Publication date: 2 July 2009

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2009.04.006

zbMATH Keywords

finiteness conditionsArtinian algebrafinitely generated algebraNoetherian algebraTrain algebra

Mathematics Subject Classification ID

Nonassociative algebras satisfying other identities (17A30) Genetic algebras (17D92)

Related Items (3)

Jacobi-Jordan algebras ⋮ On cohomology and deformations of Jacobi-Jordan algebras ⋮ On Bernstein algebras satisfying chain conditions II

Cites Work

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• Bernstein algebras which are Jordan algebras
• Gametization of weighted algebras
• Free non-associative principal train algebras
• Principal train algebras of rank 3 and dimensions≦5
• On Bernstein and train algebras of rank 3
• A note on train algebras
• Solvability of the ideal of all weight zero elements in bernstein algebras
• On nilpotency of the barideal of a bernstein algebra
• On Bernstein Algebras Satisfying Chain Conditions
• Commutative Train Algebras^* of Ranks 2 and 3

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