In this paper we give a complete description of primitive Jordan algebras over fields of characteristic not two in the spirit of E. I. Zel'manov's classification of prime Jordan algebras (1983, Siberian Math. J. 24, No. 1, 73-85). We also prove that associative tight envelopes of special primitive Jordan algebras are also primitive. (C) 1994 Academic Press, Inc.
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Univ Nova Lisboa, Fac Sci & Technol, Ctr Math & Applicat, P-2829516 Monte De Caparica, Caparica, Portugal
Polytech Inst Tomar, Managing Sch, P-2300313 Quinta Do Contador, Tomar, PortugalUniv Nova Lisboa, Fac Sci & Technol, Ctr Math & Applicat, P-2829516 Monte De Caparica, Caparica, Portugal
Covas, Ricardo
Mexia, Joao Tiago
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Univ Nova Lisboa, Fac Sci & Technol, Ctr Math & Applicat, P-2829516 Monte De Caparica, Caparica, PortugalUniv Nova Lisboa, Fac Sci & Technol, Ctr Math & Applicat, P-2829516 Monte De Caparica, Caparica, Portugal
Mexia, Joao Tiago
Zmyslony, Roman
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Univ Opole, Inst Math & Comp Sci, PL-45052 Opole, Poland
Univ Zielona Gora, Fac Math Comp Sci & Econometr, PL-65246 Zielona Gora, PolandUniv Nova Lisboa, Fac Sci & Technol, Ctr Math & Applicat, P-2829516 Monte De Caparica, Caparica, Portugal