Rings Whose Modules Are Weakly Supplemented Are Perfect. Applications To Certain Ring Extensions
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Authors
Büyükaşık, Engin
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Open Access Color
BRONZE
Green Open Access
Yes
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4
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3
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No
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Abstract
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.
Description
Keywords
R-modules, Hopf-Galois extensions, Hopf algebras, Modules (Algebra), Rings (Algebra), Rings (Algebra), Hopf algebras, Hopf-Galois extensions, Modules (Algebra), R-modules
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Büyükaşık, E., and Lomp, C. (2009). Rings whose modules are weakly supplemented are perfect. Applications to certain ring extensions. Mathematica Scandinavica, 105(1), 25-30. doi:10.7146/math.scand.a-15104
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Scopus Q
OpenCitations Citation Count
3
Source
Volume
105
Issue
1
Start Page
25
End Page
30
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CrossRef : 2
Scopus : 14
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Mendeley Readers : 1
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14
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16
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748
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379
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