Czechoslovak Mathematical Journal

, Volume 56, Issue 2, pp 339–348 | Cite as

R 0-algebras and weak dually residuated lattice ordered semigroups

  • Liu Lianzhen
  • Li Kaitai
Article
Received:

Abstract

We introduce the notion of weak dually residuated lattice ordered semi-groups (WDRL-semigroups) and investigate the relation between R 0-algebras and WDRL-semigroups. We prove that the category of R 0-algebras is equivalent to the category of some bounded WDRL-semigroups. Moreover, the connection between WDRL-semigroups and DRL-semigroups is studied.

Keywords

R0-algebra DRL-semigroup WDRL-semigroup 
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Copyright information

© Mathematical Institute, Academy of Sciences of Czech Republic 2006

Authors and Affiliations

  • Liu Lianzhen
    • 1
    • 2
  • Li Kaitai
    • 2
  1. 1.College of ScienceSouthern Yangtze UniversityWuxiChina
  2. 2.College of ScienceXi’an Jiaotong UniversityXi’anChina

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