| 半环的近理想 |
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| 引用本文： | 欧启通,王丽萍. 半环的近理想[J]. 福州大学学报(自然科学版), 2009, 37(4): 478-481 |
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| 作者姓名： | 欧启通 王丽萍 |
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| 作者单位： | 三明学院数学与计算机科学系,福建三明,365004 |
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| 基金项目： | 福建省自然科学基金资助项目，福建省教育厅科研资助项目，三明学院优势学科资助项目 |
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| 摘 要： | 通过对半环的子半环所满足的条件进行加强,提出了半环的近理想的概念.讨论了半环近理想的基本性质,得到了一些相关的结论.最后证明了半域上的矩阵半环是一个近单半环.
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| 关 键 词： | 半环 子半环 理想 近理想 |
Nearly - ideal of semiring |
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| OU Qi-tong,WANG Li-ping. Nearly - ideal of semiring[J]. Journal of Fuzhou University(Natural Science Edition), 2009, 37(4): 478-481 |
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| Authors: | OU Qi-tong WANG Li-ping |
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| Affiliation: | Department of Mathematics and Computer Science;Sanming College;Sanming;Fujian 365004;China |
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| Abstract: | By widening the satisfactory conditions of the subsemiring of semiring,the concept of nearly-ideal of semiring is introduced,several elementary properties of nearly-ideal are discussed,and some new conclusions are obtained.Finally,it is proved that the matrix semiring over a semifield is a nearly-simple semiring. |
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| Keywords: | semiring subsemiring ideal nearly-ideal |
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