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
  • [1] ORDERED FUZZY FILTERS OF HEYTING ALMOST DISTRIBUTIVE LATTICES
    Wondifraw, Yohannes Gedamu
    Alemayehu, Teferi Getachew
    JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2021, 39 (5-6): : 825 - 838
  • [2] Some Filters in Heyting Almost Distributive Lattices
    Kakumanu, Naveen Kumar
    2ND ISM INTERNATIONAL STATISTICAL CONFERENCE 2014 (ISM-II): EMPOWERING THE APPLICATIONS OF STATISTICAL AND MATHEMATICAL SCIENCES, 2015, 1643 : 713 - 719
  • [3] Some Topological Properties of the Prime Spectrum of Heyting Almost Distributive Lattices
    Rao, M. Sambasiva
    Rao, G. C.
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2018, 42 (02) : 267 - 278
  • [4] Semi Heyting Almost Distributive Lattices
    Rao, G. C.
    Ratnamani, M. V.
    Shum, K. P.
    Assaye, Berhanu
    LOBACHEVSKII JOURNAL OF MATHEMATICS, 2015, 36 (02) : 184 - 189
  • [5] Dual skew Heyting almost distributive lattices
    Assaye, Berhanu
    Alamneh, Mihret
    Mishra, Lakshmi Narayan
    Mebrat, Yeshiwas
    APPLIED MATHEMATICS AND NONLINEAR SCIENCES, 2019, 4 (01) : 151 - 162
  • [6] ω-FILTERS OF ALMOST DISTRIBUTIVE LATTICES
    Rafi, N.
    Saradhi, P. Vijaya
    Balaiah, M.
    JOURNAL OF ALGEBRAIC SYSTEMS, 2025, 13 (02):
  • [7] σ-Prime Spectrum of Almost Distributive Lattices
    Noorbhasha, Rafi
    Bandaru, Ravikumar
    Iampan, Aiyared
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2024, 17 (02): : 1094 - 1112
  • [8] Prime Filters and Ideals in Distributive Lattices
    Grabowski, Adam
    FORMALIZED MATHEMATICS, 2013, 21 (03): : 213 - 221
  • [9] On m-filters of Almost Distributive Lattices
    Rafi, Noorbhasha
    2016 INTERNATIONAL CONFERENCE ON ELECTRICAL, ELECTRONICS, AND OPTIMIZATION TECHNIQUES (ICEEOT), 2016, : 4518 - 4521
  • [10] On the Prime Filters in a Normal Almost Distributive Lattice
    Rao, G. C.
    Rafi, N.
    Bandaru, Ravi Kumar
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2011, 35 (04) : 653 - 663