Fountain-Gould left orders for associative pairs.

DOI10.1007/s10114-005-0691-5zbMath1108.16021OpenAlexW2011120443MaRDI QIDQ2508580

Teresa Cortés, Mercedes Siles Molina, Miguel Gómez Lozano, José Angel Anquela

Publication date: 13 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0691-5

zbMATH Keywords

associative pairsGoldie theoryFountain-Gould left ordersorders in semiprime rings

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Ternary compositions (17A40)

Related Items (1)

Associative systems of left quotients.

Cites Work

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• On the socle of a Jordan pair
• Quadratic Jordan systems of Hermitian type
• Strongly prime alternative pairs with minimal inner ideals
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• Goldie theory for Jordan algebras.
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• Elementary groups and stability for Jordan pairs
• Primitive Jordan pairs and triple systems
• Left Quotient Associative Pairs and Morita Invariant Properties
• Orders in regular rings with minimal condition for principal right ideals
• Left orders in regular rings with minimum condition for principal one-sided ideals
• Goldie theorems for associative pairs
• Orders in primitive rings with non-zero socle and posner's theorem
• Orders in rings without identity

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