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
  • [41] L-ALMOST DISTRIBUTIVE LATTICES
    Rao, G. C.
    Assaye, Berhanu
    Prasad, R.
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2011, 4 (01) : 171 - 178
  • [42] *-0-Distributive Almost Lattices
    Rao, G. Nanaji
    Raju, R. Venkata Aravinda
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2022, 46 (02) : 241 - 258
  • [43] BL-ALMOST DISTRIBUTIVE LATTICES
    Rao, G. C.
    Kakumanu, Naveen Kumar
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2012, 5 (02)
  • [44] KERNEL IDEALS IN ALMOST DISTRIBUTIVE LATTICES
    Rao, M. Sambasiva
    Rao, G. C.
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2012, 5 (02)
  • [45] Complementedly Normal Almost Distributive Lattices
    Ramesh, S.
    Swamy, U. M.
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2016, 40 (01) : 109 - 115
  • [46] Properties of Stone almost distributive lattices
    Rao, G. C.
    Alamneh, Mihret
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2015, 8 (01)
  • [47] The Development of the Theory of Almost Distributive Lattices
    Rao, G. C.
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON ALGEBRA 2010: ADVANCES IN ALGEBRAIC STRUCTURES, 2012, : 505 - 522
  • [48] Congruence Relations on Almost Distributive Lattices
    Pawar, Y. S.
    Shaikh, I. A.
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2012, 36 (04) : 519 - 527
  • [49] On Characterizations of Stone Almost Distributive Lattices
    Swamy, U. M.
    Rao, G. C.
    Rao, G. Nanaji
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2008, 32 (06) : 1167 - 1176
  • [50] MS-almost distributive lattices
    Addis, Gezahagne Mulat
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2020, 13 (07)