Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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(SKEW) FILTERS IN RESIDUATED SKEW LATTICES: PART II

  • Koohnavard, Roghayeh (Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman) ;
  • Saeid, Arsham Borumand (Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman)
  • Received : 2017.10.28
  • Accepted : 2018.05.21
  • Published : 2018.09.25
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Abstract

In this paper, some kinds of (skew) filters are defined and are studied in residuated skew lattices. Some relations are got between these filters and quotient algebras constructed via these filters. The Green filter is defined which establishes a connection between residuated lattices and residuated skew lattices. It is investigated that relationships between Green filter and other types of filters in residuated skew lattices and the relationship between residuated skew lattice and other skew structures are studied. It is proved that for a residuated skew lattice, skew Hilbert algebra and skew G-algebra are equivalent too.

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References

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