Filtered jordan systems

DOI10.1080/00927879008824000zbMath0708.17026OpenAlexW1975797605MaRDI QIDQ3490167

Ottmar Loos

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/00927879008824000

zbMATH Keywords

filtrationJordan algebraJordan triple systemsgraduationsuniversal envelopeprincipal filtration

Mathematics Subject Classification ID

Structure theory for Jordan algebras (17C10) Ternary compositions (17A40)

Related Items (7)

Annihilators of elements of the socle of a jordan algebra ⋮ Decomposition of projective spaces defined by unit-regular jordan pairs ⋮ A filtration associated to an abelian inner ideal of a Lie algebra ⋮ Inner ideals and intrinsic subspaces of linear pair geometries ⋮ Quadratic Jordan superpairs covered by grids. ⋮ Trace and norm for reduced elements of jordan pairs ⋮ Principal Filtrations of Lie Algebras

Cites Work

• Strong nilpotence of solvable ideals in quadratic Jordan algebras
• Jordan-Divisionsalgebren und Bewertungen
• Zur Arithmetik der Jordan-Paare
• Classification of locally compact Jordan division rings
• Involutive gradings of jordan structures

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