| 一类具（拟-）Baer性的特殊Morita Context环 |
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| 引用本文： | 金海兰,朴哲林,崔海兰.一类具（拟-）Baer性的特殊Morita Context环[J].延边大学理工学报,2011(3):212-215. |
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| 作者姓名： | 金海兰 朴哲林 崔海兰 |
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| 作者单位： | [1]延边大学理学院数学系,吉林延吉133002 [2]吉林市朝鲜族中学,吉林132021 |
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| 基金项目： | 吉林省教育厅“十一五”科学技术研究资助项目（吉教科合字[2010]第272号） |
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| 摘 要： | 通过反例得出R为Baer环时,斜群环R＊G与固定环RG未必是Baer环的结论.进而探讨了斜群环和固定环构成（拟-）Baer环的条件.通过对Morita Context环分解,得到斜群环和固定环构成的Morita Context环作成（拟-）Baer环的条件.
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| 关 键 词： | Baer环 拟-Baer环 Morita Context环 斜群环 固定环 单环 |
A Class of Special Morita Context Ring with（Quasi-）Baerness |
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| JIN Hai-lan,PIAO Zhe-lin,CUI Hai-lan.A Class of Special Morita Context Ring with（Quasi-）Baerness[J].Journal of Yanbian University (Natural Science),2011(3):212-215. |
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| Authors: | JIN Hai-lan PIAO Zhe-lin CUI Hai-lan |
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| Affiliation: | 1.Department of Mathematics,College of Science,Yanbian University,Yanji 133002,China;2.Jilin Korean Nationality Middle School,Jilin 132021,China) |
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| Abstract: | We provided a counterexample to prove when R is Baer ring,R＊G and RG are not necessarily Baer ring.Accordingly,studied the conditions of skew group ring and fixed ring to be（quasi-）Baer ring.By decomposing Morita Context ring we observed conditions of Morita Context ring formed of skew group rings and fixed rings to be（quasi-）Baer ring. |
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| Keywords: | Baer ring quasi-Baer ring Morita Context ring skew group ring fixed ring simple ring |
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