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Currently displaying 1 – 5 of 5

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The symmetry of unit ideal stable range conditions

Huanyin Chen; Miaosen Chen — 2005

Archivum Mathematicum

In this paper, we prove that unit ideal-stable range condition is right and left symmetric.

Extensions of $G M$ -rings

Huanyin Chen; Miaosen Chen — 2005

Czechoslovak Mathematical Journal

It is shown that a ring $R$ is a $G M$ -ring if and only if there exists a complete orthogonal set ${e_{1}, \dots, e_{n}}$ of idempotents such that all $e_{i} R e_{i}$ are $G M$ -rings. We also investigate $G M$ -rings for Morita contexts, module extensions and power series rings.