논문KCI 등재
On rings containing a p-injective maximal left ideal
대한수학회 (The Korean Mathematical Society)|2003.10|대한수학회논문집 (Communications of the KMS)|제18권 제4호|pp. 629-633
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Abstract
We investigate in this paper rings containing afinitely generated p-injective maximal left ideal. We show that ifR is a semiprime ring containing a finitely generatedp-injective maximal left ideal, then R is a left p-injectivering. Using this result we are able to give a new characterizationof von Neumann regular rings with nonzero socle.
관련 논문AI추천
On Rings Containing a Non-essential nil−Injective Maximal Left IdealJunchao Wei, Yinchun Qu경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2012 · 제52권 제2호On the maximality of prime ideals in exchange ringsChan Yong Hong, Nam Kyun Kim, Tai Keun Kwak대한수학회 · 대한수학회논문집2002 · 제17권 제3호Rings whose maximal one-sided ideals are two-sided이양, 허찬, Chol On Kim, Sung Hee Jang대한수학회 · 대한수학회보2002 · 제39권 제3호Rings Whose Simple Singular Modules are PS-InjectiveLunqun Ouyang, Yueming Xiang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제3호Rings whose prime radicals are completely primeByung-Ok Kim, Kwang-Ho Kang, Sang-Jig Nam, Su-Ho Sohn대한수학회 · 대한수학회논문집2005 · 제20권 제3호On Semicommutative Modules and RingsAbdullah Harmanci, Nazim Agayev경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제1호
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