Strongly simply connected schurian algebras and multiplicative bases
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2005-01
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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.
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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.