Abstract
For an arbitrary R-module M we consider the radical (in the sense of Maranda)G M, namely, the largest radical among all radicalsG, such thatG(M). We determine necessary and sufficient on M in order for the radicalG(M) to be a torsion. In particular,G(M) is a torsion if and only if M is a pseudo-injective module.
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Translated from Matematicheskie Zametki, Vol. 16, No. 1, pp. 41–48, July, 1974.
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Kashu, A.I. When is the radical associated with a module a torsion?. Mathematical Notes of the Academy of Sciences of the USSR 16, 608–612 (1974). https://doi.org/10.1007/BF01098812
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DOI: https://doi.org/10.1007/BF01098812