The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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HEART AND COMPLETE PARTS OF (R, S)-HYPER BI-MODULE

  • Nooranian, M. (Department of Mathematical Sciences, Yazd University) ;
  • Davvaz, B. (Department of Mathematical Sciences, Yazd University)
  • Received : 2020.05.29
  • Accepted : 2022.07.13
  • Published : 2022.07.13
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Abstract

In this article, we investigate several aspects of (R, S)-hyper bi-modules and describe some their properties. The concepts of fundamental relation, completes part and complete closure are studied regarding to (R, S)-hyper bi-modules. In particular, we show that any complete (R, S)-hyper bi-module has at least an identity and any element has an inverse. Finally, we obtain a few results related to the heart of (R, S)-hyper bi-modules.

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References

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