| On Certain Filters in Lattice Implication Algebras |
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| 引用本文： | 刘军,徐扬. On Certain Filters in Lattice Implication Algebras[J]. 数学季刊, 1996, 11(4): 106-110 |
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| 作者姓名： | 刘军 徐扬 |
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| 作者单位： | Department of Applied Mathematics，Southwest Jiaotong University，Chengdu，610031 |
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| 摘 要： | ＯｎＣｅｒｔａｉｎＦｉｌｔｅｒｓｉｎＬａｔｔｉｃｅＩｍｐｌｉｃａｔｉｏｎＡｌｇｅｂｒａｓＬｉｕＪｕｎ；ＸｕＹａｎｇ（ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，ＳｏｕｔｈｗｅｓｔＪｉａｏｔｏｎｇＵｎｉｖｅｒｓｉｔｙ，Ｃｈｅｎｇｄｕ，...
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| 关 键 词： | 格蕴涵代数 滤子 I.C.C |
On Certain Filters in Lattice Implication Algebras |
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| Liu Jun,Xu Yang. On Certain Filters in Lattice Implication Algebras[J]. Chinese Quarterly Journal of Mathematics, 1996, 11(4): 106-110 |
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| Authors: | Liu Jun Xu Yang |
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| Affiliation: | [1]Department [2]of |
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| Abstract: | Lattice implication algebras is an algebraic structure which is established by combining lattice and implication algebras. In this paper, we introduce the concept of. I-feature filters and involutory filters in fat tice implication algebras, and discussed some propert ies of them. Finally, the characterization of filters of any lattice implication algebra which satisfies Increasing Chain Conditions (I. C. C) is given. |
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| Keywords: | lattice implication algebra fliter I-feature filter involutory filter I. C. C |
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