| 关于剩余格蕴涵代数中的准素滤子 |
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| 引用本文： | 赵建彬,朱华.关于剩余格蕴涵代数中的准素滤子[J].南阳师范学院学报,2006,5(3):14-16. |
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| 作者姓名： | 赵建彬 朱华 |
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| 作者单位： | 郑州大学,数学系,河南,郑州,450052 |
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| 摘 要： | 在剩余格蕴涵代数中,提出准素滤子的概念.讨论了准素滤子与素滤子之间的关系和准素滤子与其格蕴涵同态像之间的关系.最后,得到了在格H蕴涵代数中,准素滤子和素滤子等价的结论.
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| 关 键 词： | 剩余格蕴涵代数 准素滤子 素滤子 |
| 文章编号： | 1671-6132（2006）03-0014-03 |
| 收稿时间： | 2005-12-03 |
| 修稿时间： | 2005年12月3日 |
Primary filter of residuated lattice implication algebras |
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| ZHAO Jian-bin,ZHU Hua.Primary filter of residuated lattice implication algebras[J].Journal of Nanyang Teachers College,2006,5(3):14-16. |
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| Authors: | ZHAO Jian-bin ZHU Hua |
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| Abstract: | The concept of primary filter is proposed in residuated lattice implication algebras.The relations between the primary filter and the prime filter,between the primary filter and its lattice implication homomorphism image are discussed in residuated lattice implication algebras.A primary filter is proved a prime filter in lattice H implication algebras. |
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| Keywords: | residuated lattice implication algebra primary filter prime filter |
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