Primary Jordan triple systems. III

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1985 English Publisher:Springer Science and Business Media LLCJournal:Siberian Mathematical Journal, volume 26, pages 55-64 (issn: 0037-4466, eissn: 1573-9260,

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Authors: Zel'manov, E. I.;

doi: 10.1007/bf00968963 , 10.1007/bf00968685

Primary Jordan triple systems. III

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Abstract

In Part II [Sib. Mat. Zh. 25, No. 5(147), 50--61 (1984; Zbl 0562.17007)], the author classified the prime non-degenerate Jordan triple systems (Jordan pairs) which do not satisfy a certain system of polynomial identities \(G=0\). In this work he completes the classification of such systems (pairs) by showing his earlier results are still valid when the system \(G=0\) is satisfied. [In the translation article primary should be replaced by prime.]

Keywords

polynomial identities, Ternary compositions, classification, Jordan triple systems, Jordan algebras (algebras, triples and pairs), Jordan pairs

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