Towards a Goldie theory for Jordan pairs

DOI10.1007/BF02678016zbMath0898.17013OpenAlexW2076832660MaRDI QIDQ1382637

Eulalia García Rus, Antonio Fernández López, Omar Jaa

Publication date: 3 November 1998

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02678016

zbMATH Keywords

annihilatorchain conditionJordan pairlocal algebraGoldie theory

Mathematics Subject Classification ID

Structure theory for Jordan algebras (17C10)

Related Items (5)

Local orders in Jordan algebras ⋮ The Jordan algebras of a Lie algebra ⋮ The ideal of Lesieur-Croisot elements of Jordan pairs ⋮ The Jordan socle and finitary Lie algebras ⋮ Fountain-Gould left orders for associative pairs.

Cites Work

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• On the socle of a Jordan pair
• Peirce ideals in Jordan triple systems
• Diagonalization in Jordan pairs
• Prime Jordan algebras satisfying local Goldie conditions
• The local algebras of Jordan systems
• An elemental characterization of strong primeness in Jordan systems
• Nondegenerate Jordan algebras satisfying local Goldie conditions
• On prime Jordan rings H(R) with chain condition
• Orders in regular rings with minimal condition for principal right ideals
• Left orders in regular rings with minimum condition for principal one-sided ideals
• On Semiprime Jordan Rings H(R) with ACC
• Localization of jordan algebras
• Goldie theorems for associative pairs
• Structure theorem for prime rings satisfying a generalized identity
• Orders in rings without identity

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