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A Note on Quasi-Frobenius Rings and Ring Epimorphisms

Published online by Cambridge University Press:  20 November 2018

H. H. Storrer
H. H. Storrer*
Affiliation:
McGill University, Montreal
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In this note, we characterize quasi-Frobenius rings by a weakened form of the usual condition, that every ideal is an annihilator ideal.

We then apply this result to pure rings in the sense of Cohn and to dominant rings, a concept arising in the study of ring epimorphisms. All rings considered have a unit element.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 12 , Issue 3 , June 1969 , pp. 287 - 292
Copyright
Copyright © Canadian Mathematical Society 1969

References

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