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The heredity measure of an algebra

Published online by Cambridge University Press:  17 April 2009

Vlastimil Dlab
Vlastimil Dlab
Affiliation:
Department of Mathematics and Statistics, Carleton University, Ottawa, Ontario K1S 5B6, Canada
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Abstract

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The concept of the heredity measure of a semiprimary ring (or finite-dimensional algebra) is introduced and some of its elementary properties are studied.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 40 , Issue 2 , October 1989 , pp. 189 - 197
Copyright
Copyright © Australian Mathematical Society 1989

References

[1]Cline, E., Parshall, B. and Scott, L., ‘Finite dimensional algebras and highest weight categories’, J. Reine Angew. Math. 391 (1988), 85–99.Google Scholar
[2]Dlab, V. and Ringel, C.M., ‘Quasi-hereditary algebras’, Illinois J. Math 33 (1989) (to appear).CrossRefGoogle Scholar
[3]Dlab, V. and Ringel, C.M., ‘A construction for quasi-hereditary algebras’, Compositto. Math. 55 (1988) (to appear).Google Scholar
[4]Dlab, V. and Ringel, C.M., ‘The dimension of a quasi-hereditary algebra’, Proc. Banach Center Warszawa (1988) (to appear).Google Scholar
[5]Dlab, V. and Ringel, C.M., ‘Filtrations of right ideals related to projectivity of left ideals’, in Séminaire d'Algère: Lecture Notes in Math (Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1989). (to appear).Google Scholar
[6]Mirollo, R. and Vilonen, K., ‘Berstein-Gelfand-Gelfand reciprocity on perverse sheaves’, Ann. Sci. École. Norm. Sup. 20 (1987), 311–324.CrossRefGoogle Scholar