Towards a Goldie Theory for Jordan pairs.
Noncommutative Jordan algebras containing minimal inner ideals
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En esta nota se investiga la estructura de las álgebras de Jordán no degeneradas primitivas normadas complejas que contienen ideales internos minimales.
Prime nondegenerate Jordan algebras with nonzero socle and the symmetric Martindale algebra of quotients.
On annihilators in Jordan algebras.
In this paper we prove that a nondegenerate Jordan algebra satisfying the descending chain condition on the principal inner ideals, also satisfies the ascending chain condition on the annihilators of the principal inner ideals. We also study annihilators in Jordan algebras without nilpotent elements and in JB-algebras.
Local algebras and the largest spectrum finite ideal.
M. R. F. Smyth proved in [9, Theorem 3.2] that the socle of a semiprimitive Banach complex algebra coincides with the largest algebraic ideal. Later M. Benslimane, A. Kaidi and O. Jaa showed [3] the equality between the socle and the largest spectrum finite ideal in semiprimitive alternative Banach complex algebras. In fact, they showed that every spectrum finite one-sided ideal of a semiprimitive alternative Banach complex algebra is contained in the socle. In this note a new proof is given of...
Banach algebras which are a direct sum of division algebras
Semiprime ternary algebras containing minimal right ideals
Central closure of prime non commutative Jordan algebras with nonzero socle
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