EBL-代数上的Bosbach态和Riecan态  

Bosbach States and Riecan States on EBL-algebras

作　　者：张梦雅 左卫兵 ZHANG Mengya;ZUO Weibing(College of Mathematics and Statistics,North China University of Water Resources and Electric Power,Zhengzhou 450046,China)

机构地区：[1]华北水利水电大学数学与统计学院,河南郑州450046

出　　处：《新乡学院学报》2023年第3期1-6,21,共7页Journal of Xinxiang University

基　　金：国家自然科学基金项目(12071133)。

摘　　要：基于逻辑代数上的态理论,提出了EBL-代数上的Bosbach态和RieCan态的概念,得到了它们的性质以及等价刻画,证明了对合EBL-代数上的Bosbach态与Riefian态是等价的。Various logic algebras have been widely studied as semantic systemsof non-classical logic,and EBL-algebras is an unbounded generalization of BL-algebras.Based on the state theory in logic algebras,the concepts of Bosbach states and RieGan states on EBL-algebras are introduced,their properties andequivalent characterization are investigated,and it is proved that Bosbach states and Riefian states are equivalent on involutive EBL-algebras.

关 键 词：BL-代数 EBL-代数 Bosbach态 RieCan态 

分 类 号：O159[理学—数学]