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A Characterization of QF-3 Rings

Published online by Cambridge University Press:  22 January 2016

L. E. T. WU ,
H. Y. Mochizuki  and
J. P. Jans
L. E. T. WU
Affiliation:
Western Washington State College
H. Y. Mochizuki
Affiliation:
University of California
J. P. Jans
Affiliation:
University of Washington
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A left QF-3 ring R is one in which RR, the ring considered as a left module over itself, can be embedded in a projective infective left R module Q(RR). QF-3 rings were introduced by Thrall [14] and have been studied and characterized by a number of authors [5, 8, 9, 12, 13, 15] usually restricted to the case of algebras over a field. In such a case, the concept of left QF-3 and right QF-3 coincide.

The study of QF-3 rings and algebras and many other such classes of rings had its origin in the now classic papers of Nakayama [10, 11]. He was an outstanding pioneer in algebra for many years, and we acknowledge our great debt to him and to his many excellent papers.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 27 , Issue 1 , February 1966 , pp. 7 - 13
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1966

References

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