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Subalgebra and LI-Ideal of Lattice Implication Algebras
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作者 吴明慧 徐扬 刘煦 《Journal of Southwest Jiaotong University(English Edition)》 2010年第3期250-253,共4页
First, we reviewed the definitions of lattice implication algebras, lattice implication subalgebras, and LI-ideals, and provided an equivalent definition of LI-ideal. Then we investigated some properties of lattice im... First, we reviewed the definitions of lattice implication algebras, lattice implication subalgebras, and LI-ideals, and provided an equivalent definition of LI-ideal. Then we investigated some properties of lattice implication subalgebra and U-ideal, and found the least lattice implication subalgebra. Finally, the relation between lattice implication subalgebra and LI-ideal is presented. It is proved that no LI-ideals are non-trivial lattice implication subalgebras. 展开更多
关键词 Lattice implication subalgebra Lattice H implication algebra lukasiewicz implication algebra LI-ideal
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