Some Properties of α-Subsets

In this paper, the concept of α - subsets is introduced in a lattice implication algebra and some properties are discussed. Then we prove that an α- subset is a lattice ideal of L. In the end, we discuss the properties of annihilator.

作 者： LONG Xi-qing XU Yang GU Xiu-mei   作者單位： LONG Xi-qing(Department of Mathematics ,Yibin University,Yibin 644007;Department of Mathematics , Southwest Jiaotong University, Chengdu 610031)

XU Yang,GU Xiu-mei(Department of Mathematics , Southwest Jiaotong University, Chengdu 610031) 

刊 名： 東華大學學報（英文版）  EI 英文刊名： JOURNAL OF DONGHUA UNIVERSITY(ENGLISH EDITION)  年，卷(期)： 2006 23(6)  分類號： O1  關鍵詞： lattice implication algebras   lattice H implication algebras   α - subsets   annihilators  

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