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http://dx.doi.org/10.4134/BKMS.b180030

ON FULLY FILIAL TORSION RINGS  

Andruszkiewicz, Ryszard Romuald (Institute of Mathematics University of Bialystok)
Pryszczepko, Karol (Institute of Mathematics University of Bialystok)
Publication Information
Bulletin of the Korean Mathematical Society / v.56, no.1, 2019 , pp. 23-29 More about this Journal
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;
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