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ARTINIAN RINGS AND THE H-CONDITION
Published online by Cambridge University Press: 24 July 2006
Abstract
It is proved that a ring $R$ is right Artinian if and only if, for each countably generated right $R$-module $M$, there exists a finite subset $F$ of $M$ such that the annihilator of $M$ in $R$ equals the annihilator of $F$ in $R$.
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- The London Mathematical Society 2006
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