L-偏序集中L_k-素闭包算子和L_k-素内部算子  

L_k-prime Closure Operators and L_k-prime Interior Operators on L-partially Ordered Sets

作　　者：徐款款 卢涛[1] XU Kuan-kuan;LU Tao(School of Mathematical Science,Huaibei Normal,University Huaibei 235000,China)

机构地区：[1]淮北师范大学数学科学学院,安徽淮北235000

出　　处：《模糊系统与数学》2019年第2期19-22,共4页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(11571175);安徽省高校自然科学研究重点项目(KJ2016A635)

摘　　要：本文在完备剩余格上引入了L-偏序集,给出了L-偏序集上L_k-素闭包算子和L_k-素内部算子的概念及其等价刻画,在此基础上推广得出了n重L_k-素闭包算子和n重L_k-素内部算子的概念及其等价刻画。This paper introduces the concept of L-partially ordered sets on complete residual lattices, and gives the concepts of Lk-prime closure operators and Lk-prime interior operators and characterizations on them. And then, gives the generalization. The concepts of n multiple Lk-prime closure operators and b multiple Lk-prime interior operators and characterization on them are obtained.

关 键 词：L-偏序集 Lk-素闭包算子 Lk-素内部算子 

分 类 号：O155[理学—数学]