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 On fully filial torsion rings Bull. Korean Math. Soc. 2019 Vol. 56, No. 1, 23-29 https://doi.org/10.4134/BKMS.b180030Published online 2019 Jan 31 Ryszard Romuald Andruszkiewicz, Karol Pryszczepko University of Bia{\l}ystok; University of Bia{\l}ystok Abstract : Rings in which all accessible subrings are ideals are called filial. A ring $R$ is called fully filial if all its subrings are filial (that is rings in which the relation of being an ideal is transitive). The present paper is devoted to the study of fully filial torsion rings. We prove a classification theorem for semiprime fully filial torsion rings. Keywords : ideal, $H$-ring, filial ring, J-ring MSC numbers : 16D25, 13C05 Full-Text :