Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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AN ANNIHILATOR CONDITION ON MAXIMAL IDEALS OF COMPOSITE HURWITZ RINGS

  • KIM, DONG KYU (Department of Mathematics, College of Natural Sciences, Kyungpook National University) ;
  • LIM, JUNG WOOK (Department of Mathematics, College of Natural Sciences, Kyungpook National University)
  • Received : 2019.08.22
  • Accepted : 2019.09.24
  • Published : 2020.01.30
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Abstract

Let R ⊆ T be an ascending chain of commutative rings with identity and H(R, T) (resp., h(R, T)) the composite Hurwitz series ring (resp., composite Hurwitz polynomial ring). In this article, we give some conditions for the rings H(R, T) and h(R, T) to be PS-rings.

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Acknowledgement

Supported by : National Research Foundation of Korea (NRF)

The second author was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2017R1C1B1008085).

References

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