Computer Engineering and Applications ›› 2012, Vol. 48 ›› Issue (20): 64-66.

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MTL-filters and their characterizations in residuated lattices

MA Zhenming1,2   

  1. 1.School of Science, Linyi University, Linyi, Shandong 276005, China
    2.School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
  • Online:2012-07-11 Published:2012-07-10

剩余格上的MTL-滤子及其刻画

马振明1,2   

  1. 1.临沂大学 理学院,山东 临沂 276005
    2.武汉大学 数学与统计学院,武汉 430072

Abstract: Filter theory plays an important role in studying fuzzy logic and related logic algebras. This paper introduces the concept of MTL-filter, and obtains some characterizations of it. It characterizes MTL-algebras from MTL-filters point of view.

Key words: residuated lattices, MTL-algebras, MTL-filters, quotient algebras

摘要: 滤子理论在多值逻辑及相关代数研究中起到了非常重要的作用。在交换剩余格上引入了MTL-滤子的概念,并给出了这类滤子的若干的刻画。从MTL-滤子的角度证明了MTL-代数的特征定理。

关键词: 剩余格, MTL-代数, MTL-滤子, 商代数