Yayınlanmış 1 Ocak 2009
| Sürüm v1
Dergi makalesi
Açık
RINGS WHOSE MODULES ARE WEAKLY SUPPLEMENTED ARE PERFECT. APPLICATIONS TO CERTAIN RING EXTENSIONS
Oluşturanlar
- 1. Izmir Inst Technol, Dept Math, TR-35430 Izmir, Turkey
- 2. Univ Porto, Fac Ciencias, Dept Matemat Pura, P-4169007 Oporto, Portugal
Açıklama
In this note we show that a ring R is left perfect if and only if every left R-module is weakly supplemented if and only if R is semilocal and the radical of the countably infinite free left R-module has a weak supplement.
Dosyalar
bib-a3aa48cd-3dc3-4ff6-836e-252a33207baa.txt
Dosyalar
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