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Embeddings into simple associative algebras

✍ 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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Simple Lie color algebras from graded as
✍ Kaiming Zhao πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 232 KB

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 = g∈G A g is a G-graded simple associative algebra over F . ## In this p

Simple Jordan Color Algebras Arising fro
✍ Jeffrey Bergen; Piotr Grzeszczuk πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 220 KB

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