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四川师范大学学报(自然科学版) 2010

完备格中的超因子

, PP. 302-305

屈小兵,王学平,熊清泉,余步雷

Keywords: 完备格,超因子,超因子元,有补模格,Boole格

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Abstract:

给出了超因子元的概念,然后讨论了完备格中超因子的性质,得到了一个超因子元是连续并既约元的一些等价条件.运用超因子刻画了有补模格的部分结构,并得到了一个完备格L是Boole格的充要条件是格L是下连续的分配格,且任意非零元只有零超因子.

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