有限單純格蘊(yùn)涵代數(shù)

In this paper,some necessary and sufficient conditions that a finite lattice implication algebra is simple are established.Specially,it is proved that a finite lattice implication algebra L is simple if and only if (L,≤) is a chain,if and only if there exists the unique dual atom in L.Also,it is given that a finite lattice implication algebra with order of a prime number is simple.

作 者： 朱怡權(quán) ZHU Yi-quan   作者單位： Department of Basic Science,Guangzhou Maritime College,Guangzhou 510725,China  刊 名： 數(shù)學(xué)季刊（英文版）  ISTIC PKU 英文刊名： CHINESE QUARTERLY JOURNAL OF MATHEMATICS  年，卷(期)： 2008 23(3)  分類(lèi)號(hào)： O159 O153  關(guān)鍵詞： lattice implication algebra   simplicity   periodicity  

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