INVESTIGADORES
TREPODE Sonia Elisabet
artículos
Título:
On strongly simply connected algebras and multiplicative bases
Autor/es:
IBRAHIM ASSEM; DIANE CASTONGUAY; EDUARDO MARCOS; SONIA TREPODE
Revista:
JOURNAL OF ALGEBRA
Editorial:
Elsevier
Referencias:
Año: 2005 vol. 283 p. 161 - 189
ISSN:
0021-8693
Resumen:
In this paper, we define the notions of crowns and quasi-crowns valid in an arbitrary schurian algebra and which generalise the corresponding concept in an incidence algebra. We show first that a schurian triangular algebra is strongly simply connected if and only if contains no quasi-crowns. We then prove that the absence of quasi-crowns in a schurian triangular algebra implies the existence of a multiplicative basis.
