Embeddings into simple associative algebras
β Scribed by L. A. Bokut'
- Publisher
- Springer US
- Year
- 1976
- Tongue
- English
- Weight
- 908 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0002-5232
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π SIMILAR VOLUMES
In this paper, a complete generalization of Herstein's theorem to the case of Lie color algebras is obtained. Let G be an abelian group, F a field of characteristic not 2, : G Γ G β F \* an antisymmetric bicharacter. Suppose A = gβG A g is a G-graded simple associative algebra over F . ## In this p
If R is a G-graded associative algebra, where G is an abelian group and β is a bicharacter for G, then R also has the structure of a Jordan color algebra. In addition, if R is endowed with a color involution ), then the symmetric elements S under ) are also a Jordan color algebra. Generalizing resul