Tianyuan Mathematical Center
in Southwest China

Algebraic characterizations of fuzzy frames and fuzzy CD-lattices

报告题目：Algebraic characterizations of fuzzy frames and fuzzy CD-lattices

报告专家：岳跃利 教授（中国海洋大学数学科学学院）

报告时间：2023年5月14日10:40-11:30

报告地点：四川大学数学学院西109

报告摘要：

In this talk, for a frame Q, we introduce the Q-Scott open set monad and show that the Eilenberg-Moore algebras of Q-Scott open set monad are precisely the algebraic Q-modules or equivalently the fuzzy frames in the sense of Zhang and Liu. Then for a CD-lattice Q, we introduce the strong Q-upper set monad and show that the Eilenberg-Moore algebras of strong Q-upper set monad are precisely the fuzzy CD-lattices in the sense of Zhang and Liu.

专家简介：

岳跃利，中国海洋大学数学科学学院教授，博士生导师。主要从事序拓扑的研究，在格值一致空间、收敛空间和量化序结构的T-代数表示等方面发表了多篇论文。

邀请人：赖洪亮