Extensions of <Emphasis Type="Italic">GM</Emphasis>-rings |
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Authors: | Huanyin Chen Miaosen Chen |
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Institution: | (1) Dept. of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang, 321004, P.R. China |
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Abstract: | It is shown that a ring R is a GM-ring if and only if there exists a complete orthogonal set { e
1,...,e
n
} of idempotents such that all e
i
Re
i
are GM-rings. We also investigate GM-rings for Morita contexts, module extensions and power series rings.This work was supported by the Natural Science Foundation of Zhejiang Province. |
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Keywords: | GM-ring module extension power series ring |
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