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Strongly simply connected schurian algebras and multiplicative bases
- Source :
-
Journal of Algebra . Jan2005, Vol. 283 Issue 1, p161-189. 29p. - Publication Year :
- 2005
-
Abstract
- 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. [Copyright &y& Elsevier]
- Subjects :
- *ALGEBRA
*MATHEMATICS
*MATHEMATICAL analysis
*NUMERICAL analysis
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 283
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 15450568
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2004.08.020