A Note on Quasi-Frobenius Rings and Ring Epimorphisms
Canadian mathematical bulletin, Tome 12 (1969) no. 3, pp. 287-292
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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.
Storrer, H. H. A Note on Quasi-Frobenius Rings and Ring Epimorphisms. Canadian mathematical bulletin, Tome 12 (1969) no. 3, pp. 287-292. doi: 10.4153/CMB-1969-036-9
@article{10_4153_CMB_1969_036_9,
author = {Storrer, H. H.},
title = {A {Note} on {Quasi-Frobenius} {Rings} and {Ring} {Epimorphisms}},
journal = {Canadian mathematical bulletin},
pages = {287--292},
year = {1969},
volume = {12},
number = {3},
doi = {10.4153/CMB-1969-036-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-036-9/}
}
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