Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Weakly Right IQNN Rings

  • Yang Lee (Department of Mathematics, Yanbian University, Institute for Applied Mathematics and Optics, Hanbat National University) ;
  • Sang Bok Nam (Department of Computer Engineering, Kyungdong University) ;
  • Zhelin Piao (Department of Mathematics, Yanbian University)
  • Received : 2022.06.11
  • Accepted : 2023.02.07
  • Published : 2023.06.30
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Abstract

In this article we look at the property of a 2 by 2 full matrix ring over the ring of integers, of being weakly right IQNN. This generalisation of the property of being right IQNN arises from products of idempotents and nilpotents. We shown that it is, indeed, a proper generalization of right IQNN. We consider the property of beign weakly right IQNN in relation to several kinds of factorizations of a free algebra in two indeterminates over the ring of integers modulo 2.

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Acknowledgement

The second named author was supported by Kyungdong University Research Fund, 2022. The third named author was supported by the Science and Technology Research Project of Education Department of Jilin Province, China(JJKH20210563KJ).

References

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