TL-filters of integral residuated l-monoids

  • Authors:
  • Zhudeng Wang

  • Affiliations:
  • Institute of Mathematics, Zhejiang Wanli University, Ningbo 315100, People's Republic of China and Department of Mathematics, Yancheng Teachers College, Yancheng, Jiangsu 224002, People's Republic ...

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2007

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Abstract

In this paper, we introduce and discuss the concept of TL-filters of integral residuated l-monoids. First we study some basic properties of TL-filters and give the formula for calculating the TL-filters generated by L-subsets. Then we discuss some properties of TL-filters under homomorphisms and study the relationship between TL-filters and T-congruence L-relations on integral commutative residuated l-monoids.