The concepts of connectedness and locally connectedness is introduced for rightside idempotent quantales. Some properties of connected quantale are studied, and then the equivalent characterization of connected quanta...The concepts of connectedness and locally connectedness is introduced for rightside idempotent quantales. Some properties of connected quantale are studied, and then the equivalent characterization of connected quantale is also given.展开更多
讨论Q uan ta le上的同余与Q uan ta le商之间的关系,研究单纯Q uan ta le的性质,给出一类Q uan ta le是单纯Q uan ta le的等价刻画。最后从Q uan ta le商的角度对单纯Q uan ta le进行了研究,得到单纯Q uan ta le的若干特征定理。
基金Supported by the National Natural Science Foundation of China(10871121) Supported by the Research Award for Teachers in Nangyang Normal University(nynu200749)
文摘The concepts of connectedness and locally connectedness is introduced for rightside idempotent quantales. Some properties of connected quantale are studied, and then the equivalent characterization of connected quantale is also given.
文摘讨论Q uan ta le上的同余与Q uan ta le商之间的关系,研究单纯Q uan ta le的性质,给出一类Q uan ta le是单纯Q uan ta le的等价刻画。最后从Q uan ta le商的角度对单纯Q uan ta le进行了研究,得到单纯Q uan ta le的若干特征定理。