On the Structure of Quotient Rings Which are QFX Rings
Canadian mathematical bulletin, Tome 18 (1975) no. 2, pp. 203-207
Voir la notice de l'article provenant de la source Cambridge
The object of this paper is to consider the relationships between matrix rings and rings having classical quotient rings which are quasi-Frobenius X (QFX) rings. The main result of this paper is Theorem 12, which shows that if S is a ring with a QFX right classical quotient ring T, then T is isomorphic to a direct sum of a finite number of matrix rings over local rings Ui, while S is almost a direct sum of matrix rings over rings Ci, the Ui being right classical quotient rings of the Ci.
Dunn, Samuel L. On the Structure of Quotient Rings Which are QFX Rings. Canadian mathematical bulletin, Tome 18 (1975) no. 2, pp. 203-207. doi: 10.4153/CMB-1975-040-4
@article{10_4153_CMB_1975_040_4,
author = {Dunn, Samuel L.},
title = {On the {Structure} of {Quotient} {Rings} {Which} are {QFX} {Rings}},
journal = {Canadian mathematical bulletin},
pages = {203--207},
year = {1975},
volume = {18},
number = {2},
doi = {10.4153/CMB-1975-040-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-040-4/}
}
Cité par Sources :