| 偏序集上的弱滤子弱极大理想 |
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| 引用本文： | 李海龙,姜广浩. 偏序集上的弱滤子弱极大理想[J]. 淮北煤炭师范学院学报(自然科学版), 2014, 0(2): 10-12 |
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| 作者姓名： | 李海龙 姜广浩 |
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| 作者单位： | 淮北师范大学数学科学学院,安徽淮北235000 |
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| 基金项目： | 基金项目：国家自然科学基金资助项目（11001001,11361028）;安徽高等学校省级自然科学研究重点项目（KJ2013A236） |
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| 摘 要： | 文章在偏序集上引入偏序集上弱滤子弱极大理想,证明其存在性定理,并研究它的一些性质,得到弱理想在满足弱理想降链条件的偏序集上的一个分解定理.
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| 关 键 词： | 偏序集 弱理想 弱滤子 弱极大理想 |
Weak Maximal Ideals Relative to Weak Filters on Posets |
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| LI Hai-long,JIANG Guang-hao. Weak Maximal Ideals Relative to Weak Filters on Posets[J]. Journal of Huaibei Coal Industry Teachers College(Natural Science edition), 2014, 0(2): 10-12 |
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| Authors: | LI Hai-long JIANG Guang-hao |
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| Affiliation: | (School of Mathematical Sciences, Huaibei Normal University, 235000, Huaibei ,Anhui , China ) |
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| Abstract: | In this paper,the concept of weak maximal ideals relative to weak filters on posets is introduced and examined. The existence of maximal ideals relative to filters is proved,and its some properties are studied.In addition,in the posets with discending chain condition of weak ideals,every weak ideal of posets can be decomposed as intersection of some weak maximal ideals relative to weak filters. |
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| Keywords: | poset weak ideal weak filters weak maximal ideal |
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