| 关于有1模格的等价定义 |
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| 引用本文： | 宋丽霞,张昆龙.关于有1模格的等价定义[J].模糊系统与数学,2009,23(6). |
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| 作者姓名： | 宋丽霞 张昆龙 |
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| 作者单位： | 华北科技学院,基础部,北京,东燕郊,101601 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 进一步讨论有1模格的等价定义问题,得到并证明了一个(2,2,0)型代数成为有1模格的一个充分必要条件.这样大大简化了有1模格的等价定义.
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| 关 键 词： | (2 2 0)代数 模格 单位元 有单位元模格的公理系统 |
On Simplified Definition of Modular Lattices with Unit Element |
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| SONG Li-xia,ZHANG Kun-lun.On Simplified Definition of Modular Lattices with Unit Element[J].Fuzzy Systems and Mathematics,2009,23(6). |
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| Authors: | SONG Li-xia ZHANG Kun-lun |
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| Abstract: | This paper proved that when we have two binary operations ∧,∨ and a nullary operations 1 on a non-empty set L, if these operations satisfy the two axioms of modular lattices then (L,∧,∨,1) to be a modular lattices with unit element. So, when we define modular lattices with unit element, we needn't start on a lattice with unit element, but we can begin with an algebra of type (2,2,0). |
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| Keywords: | (2 2 0) Algebra Modular Lattices Unit Element Modular Lattices with Unit Element Axioms |
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