The Space of Prime Ordered Filters of Heyting Almost Distributive Lattices

被引:0
|
作者
Rao, M. Sambasiva [1 ]
Rao, G. C. [2 ]
机构
[1] MVGR Coll Engn, Dept Math, Vizianagaram 535005, Andhra Pradesh, India
[2] Andhra Univ, Dept Math, Visakhapatnam 530003, Andhra Pradesh, India
关键词
Heyting ADL; Ordered filter; Compact set; Hausdorff space;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The Stone's theorem of prime filters is generalized to the case of prime ordered filters of Heyting almost distributive lattices. Some topological properties of prime ordered filters are studied. Some equivalent conditions are derived for the space of prime ordered filters to become a Hausdorff space.
引用
收藏
页码:865 / 875
页数:11
相关论文
共 50 条
  • [31] COAXIAL FILTERS OF DISTRIBUTIVE LATTICES
    Rao, M. Sambasiva
    ARCHIVUM MATHEMATICUM, 2023, 59 (05): : 397 - 409
  • [32] μ-Fuzzy Filters in Distributive Lattices
    Norahun, Wondwosen Zemene
    ADVANCES IN FUZZY SYSTEMS, 2020, 2020
  • [33] REGULAR FILTERS OF DISTRIBUTIVE LATTICES
    Rao, M. sambasiva
    Kumar, A. p. phaneendra
    JOURNAL OF ALGEBRAIC SYSTEMS, 2025, 12 (02):
  • [34] METRIC FILTERS OF DISTRIBUTIVE LATTICES
    AIGNER, M
    MATHEMATISCHE ZEITSCHRIFT, 1977, 154 (03) : 215 - 223
  • [35] ALMOST-PRIME TIMES IN HOROSPHERICAL FLOWS ON THE SPACE OF LATTICES
    Mcadam, Taylor
    JOURNAL OF MODERN DYNAMICS, 2019, 15 : 277 - 327
  • [36] S - Linear Almost Distributive Lattices
    Rao, G. C.
    Rafi, N.
    Bandaru, Ravi Kumar
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2010, 3 (04): : 704 - 716
  • [37] De Morgan Almost Distributive Lattices
    Addis, Gezahagne Mulat
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2020, 44 (04) : 451 - 464
  • [38] Formalization of Generalized Almost Distributive Lattices
    Grabowski, Adam
    FORMALIZED MATHEMATICS, 2014, 22 (03): : 257 - 267
  • [39] A NOTE ON MULTIPLIERS IN ALMOST DISTRIBUTIVE LATTICES
    Kim, Kyung Ho
    KOREAN JOURNAL OF MATHEMATICS, 2019, 27 (02): : 425 - 435
  • [40] On prime matrices over distributive lattices
    Marenich V.E.
    Journal of Mathematical Sciences, 2010, 164 (2) : 260 - 271