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On the Double Commutator Algebra of QF-3 Algebras

Published online by Cambridge University Press:  22 January 2016

H. Y. Mochizuki
H. Y. Mochizuki*
Affiliation:
University of California, Berkely
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Introduction and Preliminaries. Nakayama [9] suggested that algebras be classified according to the length of a right projective, injective resolution of the algebra as a left module. Tachikawa [10] showed that an algebra is QF-3 (see [12] for definition) if and only if the length is at least one. He [11] also gave some estimations of the length of the resolution besides relating the length to the size of the double commutator algebra of a faithful projective, injective left ideal.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 25 , 1965 , pp. 221 - 230
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1965

References

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