Geodesic
Primary modules over commutative rings
Glasgow mathematical journal, Tome 43 (2001) no. 1, pp. 103-111

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The radical of a module over a commutative ring is the intersection of all prime submodules. It is proved that if R is a commutative domain which is either Noetherian or a UFD then R is one-dimensional if and only if every (finitely generated) primary R-module has prime radical, and this holds precisely when every (finitely generated) R-module satisfies the radical formula for primary submodules. 
Smith, Patrick F. Primary modules over commutative rings. Glasgow mathematical journal, Tome 43 (2001) no. 1, pp. 103-111. doi: 10.1017/S0017089501010084
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