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On Algebras of Dominant Dimension One

Published online by Cambridge University Press:  22 January 2016

Bruno J. Mueller
Bruno J. Mueller*
Affiliation:
McMaster University, Hamilton, Ontario, Canada
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QF-3 algebras R are classified according to their second commutator algebras R′ with respect to the minimal faithful module, which satisfy dom.dim. R′ ≧ 2. The class C(S) of all QF-3 algebras whose second commutator is S, contains besides S only algebras R with dom.dim. R = 1. C(S) contains a unique (up to isomorphism) minimal algebra which can be represented as a subalgebra S0 of S describable in terms of the structure of S, and C(S) consists just of the algebras S0 ⊂ R ⊂ S (up to isomorphism).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 31 , January 1968 , pp. 173 - 183
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1968

References

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