The ideal of Lesieur-Croisot elements of Jordan pairs

DOI10.1080/00927872.2023.2197069zbMath1521.17090arXiv2008.10089OpenAlexW3080572536MaRDI QIDQ6172844

Fernando Montaner, Irene Paniello

Publication date: 20 July 2023

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

Full work available at URL: https://arxiv.org/abs/2008.10089

zbMATH Keywords

Jordan pairlocal algebranonsingularityclassical order

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Structure theory for Jordan algebras (17C10)

Cites Work

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• Finiteness conditions in Jordan pairs
• On the socle of a Jordan pair
• Algebras of quotients of Jordan algebras
• The structure of strongly prime quadratic Jordan algebras
• Quadratic Jordan systems of Hermitian type
• Jordan pairs
• Local PI theory of Jordan systems
• Strong primeness of hermitian Jordan systems
• Towards a Goldie theory for Jordan pairs
• Strongly prime Jordan pairs with nonzero socle
• Goldie theory for Jordan algebras.
• Local inheritance in Jordan algebras
• Prime Jordan algebras satisfying local Goldie conditions
• Elementary groups and stability for Jordan pairs
• Nondegenerate Jordan algebras satisfying local Goldie conditions
• Local orders in Jordan algebras
• Algebras of quotients of nonsingular Jordan algebras
• Local Lesieur-Croisot theory of Jordan algebras
• Left Quotient Associative Pairs and Morita Invariant Properties
• Goldie theorems for associative pairs
• PI theory for associative pairs
• Local PI theory of Jordan systems. II

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