Bull. Korean Math. Soc. 2019; 56(1): 23-29
Online first article January 14, 2019 Printed January 31, 2019
https://doi.org/10.4134/BKMS.b180030
Copyright © The Korean Mathematical Society.
Ryszard Romuald Andruszkiewicz, Karol Pryszczepko
University of Bia{\l}ystok; University of Bia{\l}ystok
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
Supported by: This publication has received financial support
from the Polish Ministry of Science and Higher Education under subsidy for maintaining the research potential of the Faculty of Mathematics, University of Białystok.
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