Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9493453 | Journal of Algebra | 2005 | 29 Pages |
Abstract
In this paper, we define concepts of crowns and quasi-crowns, valid in an arbitrary schurian algebra, and which generalise the corresponding concepts in an incidence algebra. We show first that a triangular schurian algebra is strongly simply connected if and only if it is simply connected and contains no quasi-crown. We then prove that the absence of quasi-crowns in a triangular schurian algebra implies the existence of a multiplicative basis.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
I. Assem, D. Castonguay, E.N. Marcos, S. Trepode,