| 关于半模的左右零化子 |
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| 引用本文： | 杨晓鹏. 关于半模的左右零化子[J]. 韩山师范学院学报, 2010, 31(6): 6-9 |
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| 作者姓名： | 杨晓鹏 |
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| 作者单位： | 韩山师范学院数学与信息技术系,广东潮州521041 |
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| 基金项目： | 韩山师范学院青年科学基金 |
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| 摘 要： | 引入了半模的零化子的定义,利用半模零化子的性质,得到了半模的和及直积的零化子．最后构造了两个关于半模零化子的集合,讨论了这两个集合的一些性质,并证明了它们是两个反同构的完全格．
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| 关 键 词： | 半模 零化子 直积 完全格 反同构 |
On the Left and Right Annihilators of Semimodule |
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| YANG Xiao-peng. On the Left and Right Annihilators of Semimodule[J]. Journal of Hanshan Teachers College, 2010, 31(6): 6-9 |
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| Authors: | YANG Xiao-peng |
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| Affiliation: | YANG Xiao-peng (Department of Mathematics and Information Technology, Hanshan Normal University, Chaozhou 521041, China) |
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| Abstract: | In this paper, the definition of left（right） annihilator of semimodule is introduced. With some properties of the annihilator of semimodule, the annihilators of the sum and direct product of semimodules are obtained. Last, two sets of annihilators of a semimodule are constructed, and some properties of these two sets are discussed, proving that they are anti-isomorphic completelattices. |
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| Keywords: | semimodule annihilator direct product complete lattice anti-isomorphic |
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