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Lattice-Valued Convergence Spaces: Weaker Regularity and -Regularity

Author

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  • Lingqiang Li
  • Qiu Jin

Abstract

By using some lattice-valued Kowalsky’s dual diagonal conditions, some weaker regularities for Jäger’s generalized stratified -convergence spaces and those for Boustique et al’s stratified -convergence spaces are defined and studied. Here, the lattice is a complete Heyting algebra. Some characterizations and properties of weaker regularities are presented. For Jäger’s generalized stratified -convergence spaces, a notion of closures of stratified -filters is introduced and then a new -regularity is defined. At last, the relationships between -regularities and weaker regularities are established.

Suggested Citation

  • Lingqiang Li & Qiu Jin, 2014. "Lattice-Valued Convergence Spaces: Weaker Regularity and -Regularity," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-11, January.
    • Handle: RePEc:hin:jnlaaa:328153
    DOI: 10.1155/2014/328153
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    Cited by:

    1. Ahmed Aref Abd El-Latif & Ahmed Abd Elkader Ramadan, 2021. "( L ,⊙)-Fuzzy ( K , E )-Soft Filter," Mathematics, MDPI, vol. 9(22), pages 1-12, November.

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