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On Rings Containing a Non-essential nil−Injective Maximal Left Ideal

Junchao Wei|Yinchun Qu
경북대학교 자연과학대학 수학과|2012.06|Kyungpook Mathematical Journal|제52권 제2호|pp. 179-188|DOI http://dx.doi.org/10.5666/KMJ.2012.52.2.179

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키워드

Left MC2 ringsLeft nil−ringsn−regular ringsReduced ringsnil−injective maximal left ideals
주제분류수학

초록

We investigate in this paper rings containing a non-essential nil− injective maximal left ideal. We show that if R is a left MC2 ring containing a non essential nil−injective maximal left ideal, then R is a left nil− injective ring. Using this result, some known results are extended.

Abstract

We investigate in this paper rings containing a non-essential nil− injective maximal left ideal. We show that if R is a left MC2 ring containing a non essential nil−injective maximal left ideal, then R is a left nil− injective ring. Using this result, some known results are extended.

참고문헌 (20)

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관련 논문AI추천

MC2 RingsJun-chao Wei경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제4호On rings containing a p-injective maximal left idealJin Yong Kim, Nam Kyun Kim대한수학회 · 대한수학회논문집2003 · 제18권 제4호On rings whose essential maximal right ideals are GP-injectiveJeonghee Jeong, Nam Kyun Kim대한수학회 · 대한수학회논문집2022 · 제37권 제2호Nil*-COHERENT RINGSLunqun Ouyang, Xiang Yueming대한수학회 · 대한수학회보2014 · 제51권 제2호Rings Whose Simple Singular Modules are PS-InjectiveLunqun Ouyang, Yueming Xiang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제3호Weakly np- Injective Rings and Weakly C2 RingsJianhua Chen, Junchao Wei경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제1호

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