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| K-本原环的结构 | |
| 引用本文： | 张志旭,汪宏远,赵鹏起,刘大波,刘赞勤,陈琳珏.K-本原环的结构[J].数学的实践与认识,2011,41(3). |
| 作者姓名： | 张志旭 汪宏远 赵鹏起 刘大波 刘赞勤 陈琳珏 |
| 作者单位： | 1. 佳木斯大学,理学院,黑龙江,佳木斯,154007 2. 通化县综合高中,吉林,通化,134000 3. 内黄三中,河南,安阳,456381 |
| 基金项目： | 黑龙江省教育厅课题项目(11553115);黑龙江省教育厅课题项目(11553114) |
| 摘 要： | 研究K-本原环.证明了素环R是K-本原环当且仅当R含有一个非零理想I是K-本原环,当且仅当eRe是K-本原环,其中e是R的非零幂等元.并证明了GPI素环是K-本原环.推广了文献中的相应结果. |
| 关 键 词： | K-本原环 素环 GPI 古典商环 |
Structure of K-primitive Rings |
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| ZHANG Zhi-xu,WANG Hong-yuan,ZHAO Peng-qi,LIU Da-bo,LIU Zan-qin,CHEN Lin-jue.Structure of K-primitive Rings[J].Mathematics in Practice and Theory,2011,41(3). | |
| Authors: | ZHANG Zhi-xu WANG Hong-yuan ZHAO Peng-qi LIU Da-bo LIU Zan-qin CHEN Lin-jue |
| Institution: | ZHANG Zhi-xu~1,WANG Hong-yuan~1,ZHAO Peng-qi~1,LIU Da-bo~2,LIU Zan-qin~3,CHEN Lin-jue~1 (1.Department of Mathematics,Jiamusi University,Jiamusi 154007,China) (2.Tonghua Comprehensive High School,Tonghua 134000,China) (3.Neihuang the Third High School,Jingdian 456381,China) |
| Abstract: | This note is devoted to the study of K-primitive rings.It is proved that a prime ring R is K-primitive if and only if its a nonzero ideal is K-primitive,if and only if eRe is K-primitive for some nonzero idempotent e to R.It is also shown that GPI prime rings are K-primitive.Related results in the literatures are generalized. |
| Keywords: | K-primitive ring prime ring GPI classical quotient ring |
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