Bulletin of the Korean Mathematical Society (대한수학회보)

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ON FULLY FILIAL TORSION RINGS

  • Received : 2018.01.09
  • Accepted : 2018.11.21
  • Published : 2019.01.31
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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.

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References

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