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The Classification of Algebras by Dominant Dimension

Published online by Cambridge University Press:  20 November 2018

Bruno J. Mueller
Bruno J. Mueller*
Affiliation:
University of Mainz, Mainz, W. Germany, and McMaster University, Hamilton, Ontario
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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).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 20 , 1968 , pp. 398 - 409
Copyright
Copyright © Canadian Mathematical Society 1968

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