Jordan systems of Martindale-like quotients

DOI10.1016/j.jpaa.2004.04.001zbMath1127.17027OpenAlexW1992030556MaRDI QIDQ1886246

Esther García, Miguel Gómez Lozano

Publication date: 18 November 2004

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.04.001

Mathematics Subject Classification ID

Structure theory for Jordan algebras (17C10) Jordan structures associated with other structures (17C50)

Related Items (13)

Graded systems of quotients and Martindale-like quotients of graded Lie triple systems ⋮ Outer fractions in quadratic Jordan algebras ⋮ Algebras of quotients of nonsingular Jordan algebras ⋮ Martindale quotients of Jordan algebras ⋮ Maximal algebras of Martindale-like quotients of strongly prime linear Jordan algebras ⋮ Jordan centers and Martindale-like covers ⋮ Quotients in graded Lie algebras. Martindale-like quotients for Kantor pairs and Lie triple systems ⋮ Algebras of quotients of graded Lie algebras ⋮ Algebras of quotients of Jordan algebras ⋮ Lie Quotients for Skew Lie Algebras ⋮ Center, Centroid, Extended Centroid, and Quotients of Jordan Systems ⋮ Systems of quotients and Martindale-like quotients of Jordan–Lie triple systems ⋮ Associative systems of left quotients.

Cites Work

• Prime Jordan algebras. II
• The structure of strongly prime quadratic Jordan algebras
• The Zelmanov nilpotence theorem for quadratic Jordan algebras
• Zelmanov's prime theorem for quadratic Jordan algebras
• Quadratic Jordan systems of Hermitian type
• Local PI theory of Jordan systems
• Strong primeness of hermitian Jordan systems
• Algebras of quotients of Lie algebras.
• Goldie theory for Jordan algebras.
• On annihilators in Jordan algebras
• Rings of quotients for a class of special Jordan rings
• On prime Jordan rings H(R) with chain condition
• Prime rings satisfying a generalized polynomial identity
• LIE ALGEBRAS WITH AN ALGEBRAIC ADJOINT REPRESENTATION
• On Semiprime Jordan Rings H(R) with ACC
• Goldie-Like Conditions on Jordan Matrix Rings
• Imbedding of Jordan Algebras Into Lie Algebras. II
• Tits-Kantor-Koecher Superalgebras of Jordan Superpairs Covered by Grids
• Lie Algebras Graded by 3-Graded Root Systems and Jordan Pairs Covered by Grids
• Imbedding of Jordan Algebras into Lie Algebras. I
• The ring of fractions of a Jordan algebra
• Local PI theory of Jordan systems. II
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