BL-代数的余零化算子及其BL同态像  

Co-annihilator Operator of BL-Algebras and Its Image of BL-Homomorphism

作　　者：王霞霞[1] 吴洪博[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,西安710062

出　　处：《吉林大学学报（理学版）》2014年第6期1112-1118,共7页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11171196)

摘　　要：通过在BL-代数中给出单点余零化算子的概念,研究单点余零化算子的基本性质;在BL-代数中讨论多点余零化算子的基本性质,并给出BL-代数的一个子集是多点余零化算子像的充要条件;研究多点余零化算子BL同态像的性质并分别给出余零化算子的BL同态像和余零化算子的BL同态原像是余零化算子像的充要条件.Firstly,the definition of single-point co-annihilator operator was given in the BL-algebras, then some properties of single-point co-annihilator operator were studied.Secondly,some properties of multiple-point co-annihilator operator were discussed,and the necessary and sufficient conditions were given for a subset being an image of multiple-point co-annihilator operator in the BL-algebras. Finally,some properties of multiple-point co-annihilator operator’s image of BL-homomorphism were discussed,and the necessary and sufficient conditions were given when co-annihilator operator’s image of BL-homomorphism and its inverse image of BL-homomorphism are the images of multiple point co-annihilator operator.

关 键 词：模糊逻辑 BL-代数 单点余零化算子 多点余零化算子 BL同态 

分 类 号：O141.1[理学—数学]