ON SEMITRANSITIVE JORDAN ALGEBRAS OF MATRICES

DOI10.1142/S0219498811004616zbMath1254.17027MaRDI QIDQ3006046

Roman Drnovšek, Heydar Radjavi, Matjaž Omladič, Damjana Kokol Bukovšek, Janez Bernik, Tomasž Košir

Publication date: 10 June 2011

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

Jordan algebrasSemitransitivity

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Jordan structures associated with other structures (17C50)

Related Items (7)

On a stronger reconstruction notion for monoids and clones ⋮ Every matrix is a product of Toeplitz matrices ⋮ Lie algebras acting semitransitively ⋮ Semitransitive subsemigroups of the singular part of the finite symmetric inverse semigroup. ⋮ On semitransitive Lie algebras of minimal dimension ⋮ On certain graded representations of filiform Lie algebras ⋮ Semitransitive subsemigroups of the symmetric inverse semigroups.

Cites Work

• Unnamed Item
• Maximal Jordan algebras of matrices with bounded number of eigenvalues
• Jordan analogs of the Burnside and Jacobson density theorems
• Tridiagonal normal forms for orthogonal similarity classes of symmetric matrices
• Simultaneous triangularization
• On semitransitive collections of operators
• Semitransitive spaces of operators
• Malcev's theorem for jordan algebras

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