On ordered filters of implicative semigroups

被引:10
|
作者
Jun, YB
Meng, J
Xin, XL
机构
[1] DEPT MATH,CHINJU 660701,SOUTH KOREA
[2] RES INST NAT SCI,CHINJU 660701,SOUTH KOREA
[3] NW UNIV XIAN,DEPT MATH,XIAN 710069,PEOPLES R CHINA
关键词
Natural Number; Nonempty Subset; Semigroup Forum; Elementary Property; Great Element;
D O I
10.1007/BF02676588
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we first study how to generate an ordered filter by a set. Secondly, we discuss prime ordered filters in commutative implicative semigroups, and establish prime and irreducible decompositions.
引用
收藏
页码:75 / 82
页数:8
相关论文
共 50 条
  • [21] Soft ideals and soft filters of soft ordered semigroups
    Ali, Muhammad Irfan
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (09) : 3396 - 3403
  • [22] Principal filters of some ordered Gamma-semigroups
    Kehayopulu, N.
    Tsingelis, M.
    ARMENIAN JOURNAL OF MATHEMATICS, 2016, 8 (02): : 96 - 103
  • [23] On special implicative filters
    Font, JM
    MATHEMATICAL LOGIC QUARTERLY, 1999, 45 (01) : 117 - 126
  • [24] On filters of implicative semilattices
    Jun, YB
    INFORMATION SCIENCES, 2002, 143 (1-4) : 197 - 204
  • [25] EXTENDED SPECIAL SETS IN IMPLICATIVE SEMIGROUPS
    Bang, Keumseong
    So, Keum Sook
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2007, 22 (01): : 9 - 14
  • [26] Classes of n-fold Implicative Fuzzy Filters of Residuated Lattice Ordered Monoids
    Motamed, Somayeh
    Moghaderi, Javad
    2018 6TH IRANIAN JOINT CONGRESS ON FUZZY AND INTELLIGENT SYSTEMS (CFIS), 2018, : 174 - 175
  • [27] A novel study on fuzzy ideals and fuzzy filters of ordered *-semigroups
    Feng, Xinyang
    Tang, Jian
    Davvaz, Bijan
    Luo, Yanfeng
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2017, 33 (01) : 423 - 431
  • [28] A study of generalized roughness in (∈,∈∨qk)-fuzzy filters of ordered semigroups
    Ali, Muhammad Irfan
    Mahmood, Tahir
    Hussain, Azmat
    JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, 2018, 12 (02): : 163 - 172
  • [29] Implicative UP-filters
    Young Bae Jun
    Aiyared Iampan
    Afrika Matematika, 2019, 30 : 1093 - 1101
  • [30] Redefined fuzzy implicative filters
    Jun, Young Bae
    Xu, Yang
    Ma, Jun
    INFORMATION SCIENCES, 2007, 177 (06) : 1422 - 1429