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A Characterization of Right Artinian Rings
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Abstract
It is proved that right Artinian rings are precisely the right Noetherian rings R that lack finitely generated ξ(N)-torsion right R-modules with prime annihilator, where N is the prime radical of R.
관련 논문AI추천
Rings whose maximal one-sided ideals are two-sided이양, 허찬, Chol On Kim, Sung Hee Jang대한수학회 · 대한수학회보2002 · 제39권 제3호On rings containing a p-injective maximal left idealJin Yong Kim, Nam Kyun Kim대한수학회 · 대한수학회논문집2003 · 제18권 제4호On Semicommutative Modules and RingsAbdullah Harmanci, Nazim Agayev경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제1호Rings whose prime radicals are completely primeByung-Ok Kim, Kwang-Ho Kang, Sang-Jig Nam, Su-Ho Sohn대한수학회 · 대한수학회논문집2005 · 제20권 제3호On Idempotent Reflexive RingsJin Yong Kim, Jong Uk Baik경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제4호A Commutativity Theorem for RingsM.S.S.Khan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2003 · 제43권 제4호
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