| WGP-内射环及其应用 |
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| 引用本文： | 鲁琦,鲍宏伟.WGP-内射环及其应用[J].吉林大学学报(理学版),2018,56(3):556-560. |
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| 作者姓名： | 鲁琦 鲍宏伟 |
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| 作者单位： | 蚌埠学院 理学院, 安徽 蚌埠 233030 |
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| 摘 要： | 考虑WGP-内射环的极大零化子的性质,证明了若一个左WGP-内射环R满足对任意无限个元素a_1,a_2,a_3,…,均有左零化子构成的升链l(a_1)■l(a_1a_2)■l(a_1a_2a_3)■…是稳定的,则:R是半准素环;R是左、右完全环;R是左、右Kasch环.并给出WGP-内射环的一些充要条件.
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| 关 键 词： | GP-内射环 WGP-内射环 半单环 极小内射环 |
| 收稿时间： | 2017-03-02 |
WGP Injective Rings and Their Applications |
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| LU Qi,BAO Hongwei.WGP Injective Rings and Their Applications[J].Journal of Jilin University: Sci Ed,2018,56(3):556-560. |
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| Authors: | LU Qi BAO Hongwei |
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| Institution: | School of Science, Bengbu University, Bengbu 233030, Anhui Province, China |
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| Abstract: | We considered some properties of maximal annihilators of WGP injective rings, and proved that: if a left WGP injective ring R satisfied that the ascending chain l(a1)l(a1a2)l(a1a2a3)… consisting left annihilator were stable for arbitrary infinite element a1,a2,a3,…, then R was a semiprimary ring; R was a left and right perfect ring; and R was a left and right Kasch ring. Some sufficient and necessary conditions of WGP injective rings were given. |
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| Keywords: | semisimple ring mininjective ring WGP injective ring GP injective ring |
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