Journal of applied mathematics & informatics

  • 제41권6호
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  • Pages.1173-1180
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  • 2023
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  • 2734-1194(pISSN)
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  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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FURTHER STUDY OF RINGS IN WHICH ESSENTIAL MAXIMAL RIGHT IDEALS ARE GP-INJECTIVE

  • 투고 : 2022.07.08
  • 심사 : 2023.07.19
  • 발행 : 2023.11.30
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초록

In this paper, rings in which essential maximal right ideals are GP-injective are studied. Whether the rings with this condition satisfy von Neumann regularity is the goal of this study. The obtained research results are twofold: First, it was shown that this regularity holds even when the reduced ring is replaced with π-IFP and NI-ring. Second, it was shown that this regularity also holds even when the maximal right ideal is changed to GW-ideal. This can be interpreted as an extension of the existing results.

키워드

과제정보

The first author (Sangbok Nam) acknowledges the support of Kyungdong University Research Fund, 2022.

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