Strongly simply connected schurian algebras and multiplicative bases
| dc.creator | Assem, Ibrahim | |
| dc.creator | Castonguay, Diane | |
| dc.creator | Marcos, Eduardo do Nascimento | |
| dc.creator | Trepode, Sonia Elisabet | |
| dc.date.accessioned | 2021-01-04T14:34:05Z | |
| dc.date.available | 2021-01-04T14:34:05Z | |
| dc.date.issued | 2005-01 | |
| dc.description.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. | pt_BR |
| dc.identifier.citation | ASSEM, I.; CASTONGUAY, D.; MARCOS, E. N.; TREPODE, S. Strongly simply connected schurian algebras and multiplicative bases. Journal of Algebra, Amsterdã, v. 283, n. 1, p. 161-189, Jan. 2005. | pt_BR |
| dc.identifier.doi | 10.1016/j.jalgebra.2004.08.020 | |
| dc.identifier.issn | e- 0021-8693 | |
| dc.identifier.uri | http://repositorio.bc.ufg.br/handle/ri/19278 | |
| dc.language.iso | eng | pt_BR |
| dc.publisher.country | Holanda | pt_BR |
| dc.publisher.department | Instituto de Informática - INF (RG) | pt_BR |
| dc.rights | Acesso Aberto | pt_BR |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
| dc.title | Strongly simply connected schurian algebras and multiplicative bases | pt_BR |
| dc.type | Artigo | pt_BR |
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