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
Simple and Prime Graded Jordan Algebras
β Scribed by Consuelo Martinez; E. Zelmanov
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 271 KB
- Volume
- 194
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
Denote A s ArI and let A s A [ ΠΈΠΈΠΈ [ A be a decomposition into a direct sum of differentially simple algebras.
In this paper we continue our work on Koszul algebras initiated in earlier studies. The consideration about the existence of almost split sequences for Koszul modules appeared in our early work and only a partial answer is known. Koszul duality relates finite dimensional algebras of infinite global
A quadratic Jordan pair is constructed from a β«-ήβ¬graded Hopf algebra having divided power sequences over all primitive elements and with three terms in the β«-ήβ¬grading of the primitive elements. The notion of a divided power representation of a Jordan pair is introduced and the universal object is