| 粗糙环的同构 |
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| 引用本文： | 张宗杰.粗糙环的同构[J].宜宾师范高等专科学校学报,2013(6):12-15. |
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| 作者姓名： | 张宗杰 |
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| 作者单位： | 琼州学院理工学院,海南三亚572000 |
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| 基金项目： | 2012年度教育部规划课题（FDB120423） |
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| 摘 要： | 基于粗糙群、粗糙子群、粗糙加群、粗糙正规子群、粗糙商群、粗糙环、粗糙子环、粗糙理想，粗糙商环群和粗糙环的同态的基本概念，讨论粗糙环同态和同构的性质，给出粗糙环同构的三个定理，得到了粗糙环的同构的一些性质，同时给出了这些性质和定理的严格证明。进一步补充和完善了代数学上的粗糙集理论．
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| 关 键 词： | 粗糙环 粗糙子环 粗糙理想 粗糙商环 粗糙同态 粗糙同构 |
Isomorphism of Rough Ring |
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| ZHANG Zongjie.Isomorphism of Rough Ring[J].Journal of Yibin Teachers College,2013(6):12-15. |
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| Authors: | ZHANG Zongjie |
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| Institution: | ZHANG Zongjie ( College of Science and Technology, Qiongzhou University, Sanya 572000, China) |
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| Abstract: | Base on the eoncept of the rough group, the rough subgroup, the rough additive group, the rough normal subgroup, the rough quotient- group, the rough ring, the rough subring, the rough ideal, the rough quotient ring and the homomorphism of rough rings, the properties of rough homomorphism and rough isomorphism were discussed. Three isomorphism theorems of the rough ring were introduced, the properties and theorems of homomorphism and isomorphism of the rough ring were rigorously proved. Thus, the rough sets theory in algebra is perfected. |
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| Keywords: | rough ring rough subring rough ideal rough quotient ring rough homomorphism rough isomorphism |
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