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RINGS WHOSE MODULES ARE WEAKLY SUPPLEMENTED ARE PERFECT. APPLICATIONS TO CERTAIN RING EXTENSIONS

Title
RINGS WHOSE MODULES ARE WEAKLY SUPPLEMENTED ARE PERFECT. APPLICATIONS TO CERTAIN RING EXTENSIONS
Type
Article in International Scientific Journal
Year
2009
Authors
buyukasik, engin
(Author)
Other
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lomp, christian
(Author)
FCUP
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Journal
Vol. 105
Pages: 25-30
ISSN: 0025-5521
Other information
Authenticus ID: P-003-R9M
Abstract (EN): 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.
Language: English
Type (Professor's evaluation): Scientific
Contact: enginbuyukasik@iyte.edu.tr; clomp@fc.up.pt
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Of the same journal

Rings whose modules are weakly supplemented are perfect. Applications to certain ring extensions (2009)
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