| Subdirectly Irreducible and Directly Indecomposable Lattice Implication Algebras |
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| 作者姓名： | WANG Xue-fang XU Yang SONG Zhen-ming |
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| 作者单位： | 1.Department of Mathematics，Ocean University of China，Qingdao 266003，China; 2.Department of Applied Mathematics，Southwest Jiaotong University，Chengdu 610031，China |
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| 基金项目： | SupportedbytheNationalNaturalScienceFoundationofChina(60074014) |
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| 摘 要： | Lattice implication algebra is an algebraic structure that is established by combining lattice and implicative algebra. It originated from the study on lattice-valued logic. In this paper, we characterize two special classes of lattice implication algebra, namely, subdi-rectly irreducible and directly indecomposable lattice implication algebras. Some important results are obtained.
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Subdirectly Irreducible and Directly Indecomposable Lattice Implication Algebras |
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| WANG Xue-fang,XU Yang,SONG Zhen-ming.Subdirectly Irreducible and Directly Indecomposable Lattice Implication Algebras[J].Chinese Quarterly Journal of Mathematics,2004,19(4). |
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| Authors: | WANG Xue-fang XU Yang SONG Zhen-ming |
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| Abstract: | Lattice implication algebra is an algebraic structure that is established by combining lattice and implicative algebra. It originated from the study on lattice-valued logic. In this paper, we characterize two special classes of lattice implication algebra, namely, subdi-rectly irreducible and directly indecomposable lattice implication algebras. Some important results are obtained. |
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| Keywords: | many-valued logic lattice implication algebra filter ultra-filter prime filter |
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