Prime bi-ideals in ordered ternary semirings

被引：0
|
作者：
Elavarasan, B. [1 ]
Porselvi, K. [1 ]
机构：
[1] Karunya Inst Technol & Sci, Dept Math, Coimbatore 641035, Tamil Nadu, India
来源：
INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE | 2019年 / 14卷 / 04期
关键词：
Ordered ternary semiring; bi-ideal; prime and semiprime bi-ideal;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the notions of prime and semi prime bi-ideals in ordered ternary semirings and we obtain equivalent conditions for a bi-ideal to be a prime bi-ideal.
引用
收藏
页码：929 / 933
页数：5
相关论文
共 50 条
  • [21] On Prime, Weakly Prime Left Ideals and Weakly Regular Ternary Semirings
    Bhambri, S. K.
    Dubey, Manish Kant
    Anuradha
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2013, 37 (06) : 801 - 811
  • [22] Characterizing Ordered Bi-Ideals in Ordered F-Semigroups
    Iampan, A.
    IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2009, 4 (01): : 17 - 25
  • [23] ORDERED SEMIGROUPS CHARACTERIZED BY THEIR INTUITIONISTIC FUZZY BI-IDEALS
    Khan, A.
    Jun, Y. B.
    Shabir, M.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2010, 7 (02): : 55 - 69
  • [24] A Study of *-bi-Ideals and *-Quasi-Ideals to Characterize Ordered *-Semigroups
    Abbasi, M. Y.
    Ali, Akbar
    Basar, Abul
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2020, 44 (05) : 605 - 612
  • [25] Redefined intuitionistic fuzzy bi-ideals of ordered semigroups
    Asghar Khan
    Bijan Davvaz
    Nor Haniza Sarmin
    Hidayatullah Khan
    Journal of Inequalities and Applications, 2013
  • [26] New types of fuzzy bi-ideals in ordered semigroups
    Khan, Asghar
    Sarmin, Nor Haniza
    Davvaz, Bijan
    Khan, Faiz Muhammad
    NEURAL COMPUTING & APPLICATIONS, 2012, 21 : S295 - S305
  • [27] Generalized anti fuzzy bi-ideals in ordered semigroups
    Jun Y.B.
    Khan A.
    Shabir M.
    Song S.Z.
    Lobachevskii Journal of Mathematics, 2010, 31 (1) : 65 - 76
  • [28] New types of fuzzy bi-ideals in ordered semigroups
    Asghar Khan
    Nor Haniza Sarmin
    Bijan Davvaz
    Faiz Muhammad Khan
    Neural Computing and Applications, 2012, 21 : 295 - 305
  • [29] Ordered Semigroups Characterized by Their (∈, ∈ Vq)-Fuzzy Bi-Ideals
    Jun, Young Bae
    Khan, Asghar
    Shabir, Muhammad
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2009, 32 (03) : 391 - 408
  • [30] Redefined intuitionistic fuzzy bi-ideals of ordered semigroups
    Khan, Asghar
    Davvaz, Bijan
    Sarmin, Nor Haniza
    Khan, Hidayatullah
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013, : 1 - 25
12345