| 一类新的逻辑代数--伪NM代数 |
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| 引用本文： | 刘用麟.一类新的逻辑代数--伪NM代数[J].南平师专学报,2005,24(4):1-5,11. |
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| 作者姓名： | 刘用麟 |
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| 作者单位： | 南平师范高等专科学校,数学系,福建,武夷山,354300 |
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| 基金项目： | 国家自然科学基金资助项目（60474022） |
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| 摘 要： | 提出了一类逻辑代数-伪NM代数,详细地探讨了伪NM代数的基本性质,给出了伪NM代数的等价刻画,从而证明了伪NM代数类是一个簇.引入并研究了伪NM代数的滤子理论,建立了伪NM代数的素滤子定理及其推论等等,这些结果均可看作是NM代数的相应结论的非交换推广并为研究伪NM逻辑提代数基础.
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| 关 键 词： | NM代数 滤子 同余 素滤子 |
| 文章编号： | 1008-5963（2005）04-0001-05 |
| 收稿时间： | 06 14 2005 12:00AM |
| 修稿时间： | 2005-06-14 |
A New Class of Logical Algebras-Pseudo NM-algebras |
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| LIU Yonglin.A New Class of Logical Algebras-Pseudo NM-algebras[J].Journal of Nanping Teachers College,2005,24(4):1-5,11. |
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| Authors: | LIU Yonglin |
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| Institution: | Mathematics Department of Nanping Teachers College, Wuyishan, Fujian 354300 |
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| Abstract: | A class of pseudo logical algebras-pseudo NM algebras are proposed and their properties are investigated in detail. The characterizations of pseudo NM algebras are obtained, and so it shows that the class of pseudo NM algebras is a variety. We also introduce and begin to study the filter theory of pseudo NM algebras, and establish the prime filter theorem of pseudo NM algebras and its some corollaries et al. All these results can be seen as non-commutative generalizations of the corresponding ones in NM algebras and provide an algebraic foundation of studying pseudo NM algebras. |
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| Keywords: | NM algebra filter congruence prime filte |
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