Abstract
We study train algebras of fourth degree, give some genetic examples and explicit the plenary train identities associated. These algebras fall ultimately into four classes; the first two of them do not have 1/2 as train root and thus have idempotents. For these types we provide structure theorems, which are then used for classification purposes in small dimensions.
2000 Mathematics Subject Classification:
ACKNOWLEDGMENTS
Cristián Mallol, Avec l'appui du FONDECYT. Na 1030294, CONICYT, Chile.
Michelle Nourigat and Richard Varro, Avec l'appui du FONDECYT Coop. Int. Na 7050242, CONICYT, Chile.
Notes
Communicated by A. Elduque.