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Nondegenerate Jordan algebras satisfying local Goldie conditions

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Publication:1919999
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DOI10.1006/jabr.1996.0161zbMath0857.17031OpenAlexW2036648907MaRDI QIDQ1919999

Eulalia García Rus, Antonio Fernández López

Publication date: 11 March 1997

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

Full work available at URL: https://semanticscholar.org/paper/d8ee1b549312fd3b1a5eab9d25f02ccd691433c1


zbMATH Keywords

Goldie's theoremmaximum condition on annihilatorslocal ordersnondegenerate Jordan algebrasminimum condition on principal inner ideals


Mathematics Subject Classification ID

Structure theory for Jordan algebras (17C10)


Related Items (8)

Local orders in Jordan algebras ⋮ Algebras of quotients of nonsingular Jordan algebras ⋮ Towards a Goldie theory for Jordan pairs ⋮ The ideal of Lesieur-Croisot elements of Jordan pairs ⋮ \(\pi\)-complemented algebras through pseudocomplemented lattices ⋮ Pseudocomplemented semilattices, Boolean algebras, and compatible products ⋮ Goldie theorems for associative pairs ⋮ Goldie theory for Jordan algebras.







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