Artículos de revistas
POLYNOMIAL AND GROUP IDENTITIES IN ALTERNATIVE LOOP ALGEBRAS
Date
2008Registration in:
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v.7, n.5, p.593-599, 2008
0219-4988
10.1142/S0219498808002989
Author
GOODAIRE, Edgar G.
MILIES, Cesar Polcino
Institutions
Abstract
We investigate polynomial identities on an alternative loop algebra and group identities on its (Moufang) unit loop. An alternative loop ring always satisfies a polynomial identity, whereas whether or not a unit loop satisfies a group identity depends on factors such as characteristic and centrality of certain kinds of idempotents.