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
来源：
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2015年 / 39卷 / 06期
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
  • [21] Bitopological duality for distributive lattices and Heyting algebras
    Bezhanishvili, Guram
    Bezhanishvili, Nick
    Gabelaia, David
    Kurz, Alexander
    MATHEMATICAL STRUCTURES IN COMPUTER SCIENCE, 2010, 20 (03) : 359 - 393
  • [22] α-Normal Almost Distributive Lattices
    Rao, G. C.
    Rao, M. Sambasiva
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON ALGEBRA 2010: ADVANCES IN ALGEBRAIC STRUCTURES, 2012, : 534 - 541
  • [23] Brouwerian almost distributive lattices
    Sirisetti, Ramesh
    Ramana, L. Venkata
    Ratnamani, M., V
    Bandaru, Ravikumar
    Alali, Amal S.
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2025, 74 (01): : 35 - 46
  • [24] Counting weak Heyting algebras on finite distributive lattices
    Alizadeh, Majid
    Joharizadeh, Nima
    LOGIC JOURNAL OF THE IGPL, 2015, 23 (02) : 247 - 258
  • [25] Annulets in Almost Distributive Lattices
    Rao, G. C.
    Rao, M. Sambasiva
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2009, 2 (01): : 58 - 72
  • [26] Complete almost distributive lattices
    Rao, G. C.
    Undurthi, Venugopalam
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2014, 7 (03)
  • [27] On α-Multiplier on Almost Distributive Lattices
    Wang, Ying
    Mahboob, Abid
    Khan, Abdul Rauf
    Ullah, Zafar
    Karim, Zahid
    Karim, Mamoona
    JOURNAL OF MATHEMATICS, 2021, 2021
  • [28] Normal Almost Distributive Lattices
    Rao, G. C.
    Kumar, Ravi S.
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2008, 32 (05) : 831 - 841
  • [29] B - Almost Distributive Lattices
    Rao, G. C.
    Kakumanu, Naveen Kumar
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2015, 39 (04) : 545 - 554
  • [30] Post Almost Distributive Lattices
    Rao, G. C.
    Alamneh, Mihret
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2019, 43 (01) : 121 - 132
12345