On Local Algebras of Maximal Algebras of Jordan Quotients

DOI10.1007/978-3-030-41321-7_4zbMath1465.17026OpenAlexW3015367036MaRDI QIDQ5119619

Fernando Montaner, Irene Paniello

Publication date: 31 August 2020

Published in: Recent Advances in Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-41321-7_4

zbMATH Keywords

maximal algebra of quotientsstrongly prime Jordan algebras

Mathematics Subject Classification ID

Structure theory for Jordan algebras (17C10) Simple, semisimple Jordan algebras (17C20) Jordan algebras (algebras, triples and pairs) (17C99)

Cites Work

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• Finiteness conditions in Jordan pairs
• Homotope polynomial identities in prime Jordan systems
• On polynomial identities in associative and Jordan pairs
• Algebras of quotients of Jordan algebras
• Local rings of rings of quotients.
• The structure of strongly prime quadratic Jordan algebras
• On subrings of rings with involution
• Local PI theory of Jordan systems
• Strong primeness of hermitian Jordan systems
• Goldie theory for Jordan algebras.
• Local inheritance in Jordan algebras
• The maximal symmetric ring of quotients
• The local algebras of Jordan systems
• Local orders in Jordan algebras
• Algebras of quotients of nonsingular Jordan algebras
• Local Lesieur-Croisot theory of Jordan algebras
• On the relationship of a ring and the subring generated by its symmetric elements
• Lectures on quadratic Jordan algebras
• Von Neumann regularity in Jordan triple systems
• Local PI theory of Jordan systems. II

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