The Classification of Algebras by Dominant Dimension
- 1 January 1968
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 20, 398-409
- https://doi.org/10.4153/cjm-1968-037-9
Abstract
Nakayama proposed to classify finite-dimensional algebras R over a field according to how long an exact sequence of projective and injective R-R-bimodules Xi they allow. He conjectured that if there exists an infinite sequence of this type, then R must be quasi-Frobenius; and he proved this when R is generalized uniserial (17).Keywords
This publication has 1 reference indexed in Scilit:
- On Frobeniusean Algebras. IIAnnals of Mathematics, 1941