| 半环的弱理想 |
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| 引用本文： | 欧启通,陈志男. 半环的弱理想[J]. 杭州师范学院学报(自然科学版), 2009, 8(3): 168-172 |
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| 作者姓名： | 欧启通 陈志男 |
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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项目，福建省教育厅自然科学基金A类资助项目，三明学院优势学科资助项目 |
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| 摘 要： | 借助环论的思想方法,提出了半环的弱理想概念.在此基础上,提出半环的弱同余概念,讨论它们的基本性质,得到一些相关结论,并且对半环的主弱理想进行了刻划.
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| 关 键 词： | 半环 子半环 理想 弱理想 弱同余 |
Weak Ideal s of Semirings |
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| OU Qi-tong,CHEN Zhi-nan. Weak Ideal s of Semirings[J]. Journal of Hangzhou Teachers College(Natural Science), 2009, 8(3): 168-172 |
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| Authors: | OU Qi-tong CHEN Zhi-nan |
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| Affiliation: | (Department of Mathematics and Computer Science, Sanming College,Sanming 365004, China) |
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| Abstract: | By the method of ring theory, the paper introduces the concept of weak ideals of semirings and the concept of weak congruences, discusses several elementary properties of weak ideals and weak congruences, obtains some new conclusions, and characterizes the mainly weak ideals of semirings. |
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| Keywords: | semiring subsemiring ideal weak ideal weak congruence |
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