BL-代数的余零化算子及其 BL 同态像

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.