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On Graded Associative Algebras

✍ Scribed by Martín, Antonio J. Calderón


Book ID
121394408
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
118 KB
Volume
69
Category
Article
ISSN
0034-4877

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📜 SIMILAR VOLUMES


Simple Lie color algebras from graded as
✍ Kaiming Zhao 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 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 × G → F \* an antisymmetric bicharacter. Suppose A = g∈G A g is a G-graded simple associative algebra over F . ## In this p

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✍ Jeffrey Bergen; Piotr Grzeszczuk 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 220 KB

If R is a G-graded associative algebra, where G is an abelian group and ⑀ 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