| 每个极大本质单边理想是GW-理想的环的强正则性 |
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| 引用本文： | 吴国英,吴俊.每个极大本质单边理想是GW-理想的环的强正则性[J].安徽师范大学学报(自然科学版),2012,35(3):214-217. |
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| 作者姓名： | 吴国英 吴俊 |
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| 作者单位： | 安徽师范大学数学计算机科学学院,安徽芜湖,241000 |
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| 摘 要： | 本文主要证明了下列条件等价:(1)R是强正则环;(2)R是J-左弱正则环,且R的每个极大本质左(右)理想是GW-理想;(3)R是CN-环,R的每个极大本质左(右)理想是GW-理想,且每个单奇异左R-模是YJ-内射模或平坦模.
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| 关 键 词： | J-环 CN-环 强正则环 GW-理想 |
The Strong Regularity of Rings Whose Maximal Essential One-Sided Ideals are GW-Ideals |
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| WU Guo-ying
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WU Jun.The Strong Regularity of Rings Whose Maximal Essential One-Sided Ideals are GW-Ideals[J].Journal of Anhui Normal University(Natural Science Edition),2012,35(3):214-217. |
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| Authors: | WU Guo-ying WU Jun |
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| Institution: | (College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China) |
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| Abstract: | In this paper,we mainly proved that the following conditions are equivalent:(1) R is a strongly regular rins;(2) R is a J-left weakly regular ring,and every maximal essential left ideal of R is GW-ideal;(3) R is a CN-ring,every maximal essential left ideal of R is GW-ideal,and every simple singular left R-module is either YJ-injective or flat. |
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| Keywords: | J-rings CN-rings strongly regular rings GW-ideal |
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