JP Journal of Algebra, Number Theory and Applications
Volume 17, Issue 1, Pages 13 - 19
(May 2010)
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NOETHERIAN DUO-RINGS
Mohamed Ould Abdelkader
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Abstract: We study the duo-rings notion to the noetherian rings. In Theorem 4.6, we characterize left noetherian rings using the meta-projective duo-rings. In Proposition 4.8, we extend these results to fraction rings. Some other results on noetherian duo-rings are discussed. |
Keywords and phrases: noetherian duo-rings, meta-projective modules, injective modules, reflexive module. |
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