| 分配格与模格的另一二条件等价定义 |
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| 引用本文： | 木仁,马占新,张昆龙. 分配格与模格的另一二条件等价定义[J]. 数学的实践与认识, 2010, 40(16) |
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| 作者姓名： | 木仁 马占新 张昆龙 |
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| 基金项目： | 国家自然科学基金，内蒙古大学513人才计划项目，内蒙古大学211工程项资助 |
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| 摘 要： | 针对分配格与模格的格等式定义问题,得知了二条件是定义分配格与模格的最少条件,并进一步证明了Sholander's basis是定义分配格的最短最少变量格等式,最后又从分配格和模格的基本定义出发给出了新的分配格的二条件和三条件等价定义等式及模格的二条件与三条件等价定义等式.
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| 关 键 词： | 格等式 等价性 模律 吸收律 Mckenzie等式 |
Another Two Laws for Distributive Lattices and Modular Lattices |
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| MU Ren,MA Zhan-xin,ZHANG Kun-long. Another Two Laws for Distributive Lattices and Modular Lattices[J]. Mathematics in Practice and Theory, 2010, 40(16) |
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| Authors: | MU Ren MA Zhan-xin ZHANG Kun-long |
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| Abstract: | For the problems of the definitions of distributive lattices and modular lattices, we found two laws are the least law for distributive lattices and modular lattices,and we proved Sholander's basis is the shortest and least variables identities for distributive lattices. At last,according to the definition of distributive lattices and modular lattices,We provided another new two laws and three laws for distributive lattice and modular lattices. |
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| Keywords: | lattice identity modular law equity absorbtion law mckenzie's identities |
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