Strongly prime alternative pairs with minimal inner ideals |
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| Authors: | Alberto Castellón Serrano Antonio Fernández López Amable García Martín Cándido Martín González |
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| Institution: | 1. Departamento de álgebra, Geometría y Topología Facultad de Ciencias, Universidad de Málaga, Aptdo. 59, 29071, Málaga, Espa?a
2. Departamento de Matemática Aplicada E.T.S.I.I., Universidad de Málaga, 29013, Málaga, Espa?a
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| Abstract: | In this paper, we use the known classification of the finite capacity simple alternative pairs and the version of the Litoff
Theorem for Jordan pairs to describe all the strongly prime alternative pairs with nonzero socle. We study the inheritance
of some properties (primeness, nondegenerancy,…) when passing from the original alternative pair to the symmetrized pair.
Thus, we can apply Jordan theoretical results to the alternative case.
This work has been partially supported by 1) the “Plan Andaluz de Investigación y Desarrollo Tecnológico” with project no.
1027 and 2) the DGICYT with project no. PB93-0990 |
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