Geodesic
On Self-Injective Perfect Rings
Canadian mathematical bulletin, Tome 39 (1996) no. 1, pp. 55-58

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Let R be a left and right perfect right self-injective ring. It is shown that if the radical of R is countably generated as a left ideal then R is quasi-Frobenius. It is also shown that the same conclusion can be drawn if r(A ∩ B) = r(A) + r(B) for all left ideals A and B of R.
DOI : 10.4153/CMB-1996-007-8
Mots-clés : 16D50, 16L30, Perfect rings, Self-injective rings, Quasi-Frobenius rings, Injective Envelope, Semi-local rings 
Herbera, Dolors; Shamsuddin, Ahmad. On Self-Injective Perfect Rings. Canadian mathematical bulletin, Tome 39 (1996) no. 1, pp. 55-58. doi: 10.4153/CMB-1996-007-8
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     doi = {10.4153/CMB-1996-007-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1996-007-8/}
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