Abstract
Let $R$ be a ring and $M$ a left $R-$module. The radical of $M$ is the intersection of all prime submodules of $M.$ It is proved that if $R$ is a hereditary, noetherian, prime and non right artinian and $M$ a finitely generated $R-$module then the radical of $M$ has a certain form.
Citation
Fethic Callialp. Unsal Tekir. "ON THE PRIME RADICAL OF A MODULE OVER A NONCOMMUTATIVE RING." Taiwanese J. Math. 8 (2) 337 - 341, 2004. https://doi.org/10.11650/twjm/1500407631
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