| 幂等扩张的有界分配格 |
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| 引用本文： | 罗从文,刘莎莎. 幂等扩张的有界分配格[J]. 模糊系统与数学, 2011, 25(4) |
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| 作者姓名： | 罗从文 刘莎莎 |
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| 作者单位： | 三峡大学理学院,湖北宜昌,443002 |
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| 基金项目： | 湖北省教育厅自然科学研究重点项目(D200713001) |
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| 摘 要： | 考察了扩张的有界分配格类eD即带有自同态k的有界分配格,研究了具有幂等性的eD-代数的表示、同余关系以及次直不可约性,证明了这样的代数类有5个互不同构的次直不可约的幂等扩张的有界分配格。
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| 关 键 词： | 幂等扩张的有界分配格 同余关系 次直不可约代数 |
Idempotent Extended Bounded Distributive Latices |
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| LUO Cong-wen,LIU Sa-sa. Idempotent Extended Bounded Distributive Latices[J]. Fuzzy Systems and Mathematics, 2011, 25(4) |
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| Authors: | LUO Cong-wen LIU Sa-sa |
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| Affiliation: | LUO Cong-wen,LIU Sa-sa(College of Science,China Three Gorges Univ.,Yichang 443002,China) |
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| Abstract: | We initiate an investigation into the class eD of extended bounded distributive lattices,namely bounded distributive lattices endowed with an endomorphism,and discuss the representation of idempotent extended bounded distributive lattices,congruences and the subdirectly irreducible algebras.We show that there are precisely five non-isomorphic subdirectly irreducible idempotent extended bounded distributive lattices. |
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| Keywords: | Idempotent Extended Bounded Distributive Lattice Congruence Subdirectly Irreducible Algebra |
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