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A Note on Quasi-Frobenius Rings and Ring Epimorphisms
Published online by Cambridge University Press: 20 November 2018
Extract
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.
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- Copyright © Canadian Mathematical Society 1969
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