报告内容简介：In this talk, we will first explain the reason that filter topological characterization of abelian l-groups cannot be easily translated into MV-algebras. Then，for a 2-divisible MV-algebra A, we prove that A is semi-simple iff it is Hausdorff with respect to any filter topology induced by a lattice filter, which is generated by an exceeding zero element. After that, for an arbitrary MV-algebra A, we prove that A is semi-simple iff for any lattice filter F which does not intersect any proper MV-ideal, A is Hausdorff with respect to F. Then, we give several equivalent characterizations for a filter topology making an MV-algebra into a topological MV-algebra. Finally, an MV-chain with a filter topology is shown to be a topological MV-algebra, and a structure theorem of MV-algebras with Hausdorff compact filter topologies is given. （This talk contains several related works cooperated with Wei Luan, Hans Weber, and Xueting Zhao）

报告人简介：杨义川，北京航空航天大学大学教授，负责的《理科高等代数》获国家级首批一流课程认定。曾获国家教学成果二等奖、北京市教学成果特等奖，教育部基础学科拔尖人才优秀导师奖、宝钢优秀教师奖、北京市教学名师奖等。任Soft Computing编委（Area Editor）、《高等数学研究》编委，教育数学专委会副秘书长，中国工业与应用数学学会常务理事，教育部大学数学教学指导委员会委员。