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Local-to-global inheritance of primitivity in Jordan algebras

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Abstract.

We show that a strongly prime Jordan algebra having a primitive local algebra is primitive. As a tool, similar results concerning one-sided primitivity and \( \ast \)-primitivity of associative algebras are established.

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Authors and Affiliations

  1. Departamento de Matemáticas, Universidad de Oviedo, c/Calvo Sotelo s/n, E-33007 Oviedo, Spain, , , , , , ES

    José A. Anquela & Teresa Cortés

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  1. José A. Anquela
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  2. Teresa Cortés
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Received: 21.4.1997

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Anquela, J., Cortés, T. Local-to-global inheritance of primitivity in Jordan algebras. Arch. Math. 70, 219–227 (1998). https://doi.org/10.1007/s000130050187

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  • DOI: https://doi.org/10.1007/s000130050187

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