Geodesic
Quasi-Frobenius X-Rings
Canadian mathematical bulletin, Tome 13 (1970) no. 1, pp. 23-30

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In a recent study of a specific class of quasi-Frobenius rings, Feller has found it useful to introduce the X-rings ([3]). He suggested among others the following topics: (A) Determine the properties of completely indecomposable rings and matrix rings over completely indecomposable rings. (B) Determine the properties of modules over quasi-Frobenius X-rings. We point out that the completely indecomposable rings are the local quasi-Frobenius rings. Problems (A) and (B) then lead naturally to semi-local quasi-Frobenius rings, and to matrix algebra over local quasi-Frobenius rings. These types of rings are discussed in sections 1 and 2. 
Zaks, Abraham. Quasi-Frobenius X-Rings. Canadian mathematical bulletin, Tome 13 (1970) no. 1, pp. 23-30. doi: 10.4153/CMB-1970-005-3
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     title = {Quasi-Frobenius {X-Rings}},
     journal = {Canadian mathematical bulletin},
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     year = {1970},
     volume = {13},
     number = {1},
     doi = {10.4153/CMB-1970-005-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1970-005-3/}
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