剩余格上n-重滤子的特征及结构  

Characterization and structure of n-fold filter in the residuated lattice

作　　者：刘莉君[1] 

机构地区：[1]陕西理工大学数学与计算机科学学院,陕西汉中723000

出　　处：《陕西理工大学学报（自然科学版）》2017年第3期81-84,共4页Journal of Shaanxi University of Technology:Natural Science Edition

基　　金：国家自然科学基金资助项目(11401357);陕西理工大学科研基金资助项目(SLGKY16-02)

摘　　要：在剩余格中引入和讨论了n-重蕴涵滤子、n-重极滤子、n-重正蕴涵滤子和n-重布尔滤子的概念及特征性质,证明了剩余格上这几类n-重滤子之间相互转化的充要条件,研究结果拓展了剩余格上的滤子理论,并使剩余格上n-重滤子概念间的层次关系更加清晰和完善。In this paper, the concept of n-fold implicative filter, n-fold fantastic filter, n-fold positive implicative filter and n-fold boolean filter are introduced in residuated lattice. By studying their properties and characterizations, the relations among these n-fold filter are discussed systematically. The results of the study further extend the filter theory of the residuated lattice, The relationship between the concept of the n-fold filter on the residual lattice is clearer and perfect.

关 键 词：剩余格 n-重蕴涵滤子 n-重极滤子 n-重正蕴涵滤子 n-重布尔滤子 

分 类 号：O159[理学—数学]