Homogeneously simple associative algebras
โ Scribed by N. A. Koreshkov
- Book ID
- 111503572
- Publisher
- Allerton Press, Inc.
- Year
- 2011
- Tongue
- English
- Weight
- 440 KB
- Volume
- 55
- Category
- Article
- ISSN
- 1066-369X
No coin nor oath required. For personal study only.
๐ 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 ร G โ F \* an antisymmetric bicharacter. Suppose A = gโG 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 โ 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