A structure theory of Freudenthal-Kantor triple systems (Q1092147)
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scientific article; zbMATH DE number 4012844
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A structure theory of Freudenthal-Kantor triple systems |
scientific article; zbMATH DE number 4012844 |
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A structure theory of Freudenthal-Kantor triple systems (English)
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1987
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The notion of the Freudenthal-Kantor triple system (F-K triple system) was first introduced by K. Yamaguti as an algebraic system which is a generalization of the algebraic system due to Freudenthal and a modification of that system by Kantor. In this article the author defines the notion of the radical of an F-K triple system and using this, shows that a semisimple F-K triple system is decomposed into a direct sum of simple ideals. The structure groups and algebras of F-K triple systems are also defined and characterized.
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Freudenthal-Kantor triple system
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radical
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structure groups
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0.9216823
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0.8612801
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0.8603921
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0.84922093
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