Let R be a ring. M is said to be a minannihilator left R-module if r M l R (I)Â =Â IM for any simple right ideal I of R. A right R-module N is called simple-flat if Nl R (I)Â =Â l N (I) for any simple right ideal I of R. R is said to be a left simple-Baer (resp., left simple-coherent) ring if the left annihilator of every simple right ideal is a direct summand of R R (resp., finitely generated). We first obtain some properties of minannihilator and simple-flat modules. Then we characterize simple-coherent rings, simple-Baer rings, and universally mininjective rings using minannihilator and simple-flat modules.View full textDownload full textKey WordsMinannihilator module, Precover, Preenvelope, Simple-Baer ring, Simple-coherent ring, Simple-flat module, Universally mininjective ring2000 Mathematics Subject Classification16D40, 16D50, 16D60, 16P70Related var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/00927872.2010.534747
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机译：令R为环。对于r的任何简单右理想I，如果r M l R （I）= IM，则M被认为是消灭左R-模块。如果R的任何简单右理想I的Nl R （I）= l N （I），则将模块N称为简单平坦。R称为a如果每个简单右理想的左an灭子是 R R的直接加法（resp。，有限生成），则为left simple-Baer（左，简单相干）环。我们首先获得minannihilator和simple-flat模块的一些属性。然后，我们使用minannihilator和simple-flat模块表征简单相干环，simple-Baer环和普遍的内射形环。模块，Universal mininjective ring2000数学主题分类16D40、16D50、16D60、16P70更多”，发布号：“ ra-4dff56cd6bb1830b”};添加到候选列表链接永久链接http://dx.doi.org/10.1080/00927872.2010.534747
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