Geodesic
Derivatives of the radicals of moduli
Matematičeskie zametki, Tome 3 (1968) no. 6, pp. 633-642.

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The radicals of moduli are investigated as functors. Particular attention is given over to the derivatives of the functor of a radical. The function $R^0r$ turns out to be a hereditary radical containing the given one. Several relations between the $R^ir$ are proved. The article is concluded with a description of the hereditary radicals of a Prüfer ring. All the radicals of a Prüfer ring have the form of torsions in an integral domain. 
@article{MZM_1968_3_6_a1,
     author = {V. E. Govorov},
     title = {Derivatives of the radicals of moduli},
     journal = {Matemati\v{c}eskie zametki},
     pages = {633--642},
     publisher = {mathdoc},
     volume = {3},
     number = {6},
     year = {1968},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1968_3_6_a1/}
}
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V. E. Govorov. Derivatives of the radicals of moduli. Matematičeskie zametki, Tome 3 (1968) no. 6, pp. 633-642. http://geodesic.mathdoc.fr/item/MZM_1968_3_6_a1/