| 摘要: |
| 本文研究了幂等扩张的有界分配格的同余可换性问题.利用幂等扩张的有界分配格的对偶理论,得到了同余可换的幂等扩张的有界分配格的一个充分必要条件,推广了Davey和Priestley关于有界分配格的一些结果. |
| 关键词: 扩张的有界分配格 幂等的 同余可换 |
| DOI： |
| 分类号:O153.1 |
| 基金项目:湖北省自然科学基金(2011CDC099). |
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| ON IDEMPOTENT EXTENDED DISTRIBUTIVE LATTICES WHOSE CONGRUENCES ARE PERMUTABLE |
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LUO Cong-wen, GUO Ling
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College of Science, China Three Gorges University, Yichang 443002, China
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| Abstract: |
| In this paper, we study the idempotent extended bounded distributive lattices whose congruence are permutable. By the dual theory of idempotent extended distributive lattices, we get a necessary and sufficient condition of congruence permutable idempotent extended distributive lattices. Some results obtained by Davey and Priestley on bounded distributive lattices are generalized. |
| Key words: extended bounded distributive lattice idempotent congruence permutable |
