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Study on Noncommutative Jordan Real Division Algebras of Dimension 8, Whose Lie Derivation Algebra Is Not Trivial

open access: yesJournal of Algebra, 1995
AbstractIn this paper we study the noncommutative Jordan real division algebras of dimension 8, whose Lie derivation algebra is nontrivial and give an affirmative answer to a question posed by Benkart and Osborn. We characterize also the noncommutative Jordan real division algebras of dimension 8, whose automorphism group is nontrivial.
openaire   +1 more source

Jordan homomorphisms of triangular algebras over noncommutative algebras

open access: yes
D. Benkovič described Jordan homomorphisms of algebras of triangular matrices over a commutative unital ring without additive $2$-torsion. We extend this result to the case of noncommutative rings and remove the assumption of additive torsion. Let $R$ be an associative unital algebra over a commutative unital ring $Φ$. Consider the algebra $T_n(R)$ of
openaire   +2 more sources

A note on derivations of Murray-von Neumann algebras. [PDF]

open access: yesProc Natl Acad Sci U S A, 2014
Kadison RV, Liu Z.
europepmc   +1 more source

Fuglede-Kadison determinant: theme and variations. [PDF]

open access: yesProc Natl Acad Sci U S A, 2013
de la Harpe P.
europepmc   +1 more source

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