Left exact radicals in module categories over principal ideal domains
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2005), pp. 72-76.

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In the paper left exact radicals in the category of right modules over a principal ideal domain are described.
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O. Horbachuk; M. Komarnytskyi; Yu. Maturin. Left exact radicals in module categories over principal ideal domains. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2005), pp. 72-76. https://geodesic-test.mathdoc.fr/item/BASM_2005_2_a4/

[1] Mishina A. P., Skorniakov L. A., Abelian groups and modules, Amer. Math. Soc. Trans., series 2, 107, Providence, Rhode Island., 1976 | MR | Zbl

[2] Jacobson N., The theory of rings, Surveys of the Amer. Math. Soc., 2, 1942 | MR

[3] Cohn P. M., Free rings and their relations, Academic Press, London–New-York, 1971 | MR

[4] Horbachuk O., Komarnytskyi M., “Radical filters in principal ideal domains”, Dopovidi Akademii Nauk URSR, Fiz.-Mat. Ta Tehn. Nauky, A, 2 (1977), 103–104

[5] Cozzens J. H., “Homological properties of the ring of differential polynomials”, Bull. Amer. Math. Soc., 76:1 (1970), 15–19 | DOI | MR

[6] Kashu A. I., Radicals and torsions in modules, Stiintsa, Kishinev, 1983 (in Russian) | MR