Communications in Algebra, Volumen 35, Issue 9, 2018, Pages 2744-2752
Identifier
dc.identifier.issn
00927872
Identifier
dc.identifier.issn
15324125
Identifier
dc.identifier.other
10.1080/00927870701353589
Identifier
dc.identifier.uri
https://repositorio.uchile.cl/handle/2250/156625
Abstract
dc.description.abstract
The existence of idempotent elements in plenary train algebras of rank greater than 3, is an open problem to be solved. J. Carlos Gutierrez's results on plenary train algebras in Gutierrez (2000) are based on the underlying assumption of the existence of an idempotent. In this article we study conditions on the scalars defining a plenary train algebra of rank 4 to assure the existence of such an idempotent.