| 剩余格蕴涵代数中准素理想的研究 |
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| 引用本文： | 朱华,赵建彬,徐扬.剩余格蕴涵代数中准素理想的研究[J].郑州大学学报(理学版),2006,38(2):25-28. |
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| 作者姓名： | 朱华 赵建彬 徐扬 |
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| 作者单位： | 1. 郑州大学数学系,郑州,450001
2. 西南交通大学智能控制中心,成都,610031 |
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| 基金项目： | 国家自然科学基金资助项目,编号60474022 |
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| 摘 要： | 在剩余格蕴涵代数中,提出了素理想和准素思想的概念,证明了包含核的理想的格蕴涵同态像仍是理想,并研究了准素理想与素理想的性质.讨论了准素思想与素理想、准素理想与其格蕴涵同态像之间的关系.
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| 关 键 词： | 剩余格蕴涵代数 理想 素理想 准素理想 |
| 文章编号： | 1671-6841(2006)02-0025-04 |
| 收稿时间： | 11 9 2005 12:00AM |
| 修稿时间： | 2005年11月9日 |
The Primary Ideal of Residuated Lattice Implication Algebras |
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| ZHU Hua,ZHAO Jian-bin,XU Yang.The Primary Ideal of Residuated Lattice Implication Algebras[J].Journal of Zhengzhou University:Natural Science Edition,2006,38(2):25-28. |
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| Authors: | ZHU Hua ZHAO Jian-bin XU Yang |
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| Institution: | 1. Department of Mathematics ,Zhengzhou University ,Zhengzhou 450001 ,China; 2. Intelligent Control Center, Southwest Jiaotong University, Chengdu 610031, China |
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| Abstract: | The concepts of prime ideal and primary ideal are proposed in residuated lattice impliction algebras.The lattice implication homomorphism image of an ideal containing kernel is proved to be an ideal too.The properties of the prime and the primary ideal are researched.The relations between primary ideal and prime ideal,between primary ideal and its lattice implication homomrphism image are discussed in residuated lattice implication algebras. |
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| Keywords: | residuated lattice implication algebras ideal prime ideal primary ideal |
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