δ-Ideals in pseudo-complemented distributive join-semilattices

被引:2
|
作者
Nimbhorkar, Shriram K. [1 ]
Nehete, Jaya Y. [1 ]
机构
[1] Dr Babasaheb Ambedkar Marathwada Univ, Dept Math, Aurangabad 431004, Maharashtra, India
关键词
Ideal; filter; minimal prime ideal; congruence; delta-ideal; Boolean join semilattice;
D O I
10.1142/S1793557121501060
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The concept of a delta-ideal is introduced in a pseudo-complemented distributive join semilattice with 0 and some properties of these ideals are obtained. We also give a characterization for a pseudo-complemented distributive join-semilattice to be a Stone join-semilattice. Also, in a distributive join-semilattice a characterization for an ideal to be a delta-ideal is proved.
引用
收藏
页数:7
相关论文
共 50 条
  • [41] Solution to two problems on ideally conjunctive join-semilattices
    Ao Shen
    Qingguo Li
    Algebra universalis, 2024, 85
  • [42] JOIN-SEMILATTICES WHOSE PRINCIPAL FILTERS ARE PSEUDOCOMPLEMENTED LATTICES
    Chajda, Ivan
    Langer, Helmut
    MISKOLC MATHEMATICAL NOTES, 2022, 23 (02) : 559 - 577
  • [43] Regular identities of pseudo-complemented lattices
    Penner, P
    ALGEBRA COLLOQUIUM, 2000, 7 (04) : 391 - 400
  • [44] Join-Semilattices of Integrable Set-Valued Martingales
    Labuschagne, Coenraad C. A.
    THAI JOURNAL OF MATHEMATICS, 2007, 5 (01): : 53 - 69
  • [45] Solution to two problems on ideally conjunctive join-semilattices
    Shen, Ao
    Li, Qingguo
    ALGEBRA UNIVERSALIS, 2024, 85 (02)
  • [46] Characterization of Distributive and Standard Ideals in Semilattices
    Kumar, Rama Ravi E. S.
    Rao, Venkateswara J.
    Kumar, Srinivas, V
    MOMONA ETHIOPIAN JOURNAL OF SCIENCE, 2011, 3 (01): : 20 - 36
  • [47] JOIN-SEMILATTICES WHOSE SECTIONS ARE RESIDUATED PO-MONOIDS
    Chajda, Ivan
    Kuhr, Jan
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2008, 58 (04) : 1107 - 1127
  • [48] Join-semilattices whose sections are residuated PO-monoids
    Ivan Chajda
    Jan Kühr
    Czechoslovak Mathematical Journal, 2008, 58 : 1107 - 1127
  • [49] 0-Distributive Normal Join Semilattices
    Talukder, M. Rashed
    Gope, Rathindra C.
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2021, 45 (02) : 263 - 272
  • [50] QUASI-MODULAR PSEUDO COMPLEMENTED SEMILATTICES
    El Assar, S.
    Atallah, M.
    Atef, E.
    ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2016, 85 (02): : 173 - 180