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余剩余格及其应用
引用本文:郑慕聪,王国俊.余剩余格及其应用[J].模糊系统与数学,2005,19(4):7-12.
作者姓名:郑慕聪  王国俊
作者单位:陕西师范大学,数学与信息科学学院,陕西,西安,710062;陕西师范大学,数学与信息科学学院,陕西,西安,710062
摘    要:在偏序集上引入了余伴随对(+,-)的概念,并研究了它在格上的若干性质,提出了余剩余格理论,最后在此基础上给出了MV-代数的一个等价刻画。

关 键 词:余伴随对  余剩余格  MV-代数
文章编号:1001-7402(2005)04-0007-06
收稿时间:2004-05-10
修稿时间:2004-05-10

Co-residuated Lattice and Application
ZHENG Mu-cong,WANG Guo-jun.Co-residuated Lattice and Application[J].Fuzzy Systems and Mathematics,2005,19(4):7-12.
Authors:ZHENG Mu-cong  WANG Guo-jun
Abstract:The concept of co-adjoint pairs is introduced in particatty order set,and the characteristic of co-adioint pairs is investigated in lattices. Then the concept of co-residuated lattices is proposed accordingly. Finally, an equivalent characterization of MV-aigbra is provided based on the theory of co-residuated lattices.
Keywords:Co-adjoint Pair  Co-residuated Lattice  MV-algbra
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