Positive implicative makgeolli ideals of BCK-algebras

被引：0
|
作者：
Song, Seok-Zun [1 ]
Ozturk, Mehmet Ali [2 ]
Jun, Young Bae [3 ]
机构：
[1] Jeju Natl Univ, Dept Math, Jeju 63243, South Korea
[2] Adiyaman Univ, Fac Arts & Sci, Dept Math, TR-02040 Adiyaman, Turkey
[3] Gyeongsang Natl Univ, Dept Math Educ, Jinju 52828, South Korea
来源：
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2022年 / 15卷 / 04期
基金：
新加坡国家研究基金会;
关键词：
BCK-soft universe; makgeolli structure; makgeolli ideal; positive implicative makgeolli ideal; SOFT SETS;
D O I：
10.29020/nybg.ejpam.v15i4.4522
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The concept of a positive implicative makgeolli ideal in BCK-algebras is introduced, and its properties are investigated. The relationship between a makgeolli ideal and a positive implicative makgeolli ideal is established. The conditions under which a makgeolli ideal can be a positive implicative makgeolli ideal are explored. Characterizations of a positive implicative makgeolli ideal are discussed, and the extension property for a positive implicative makgeolli ideal is established.
引用
收藏
页码：1498 / 1511
页数：14
相关论文
共 50 条
  • [31] Implicative ideals of BCK-algebras based on MBJ-neutrosophic sets
    Takallo, M. Mohseni
    Borzooei, Rajab Ali
    Song, Seok-Zun
    Jun, Young Bae
    AIMS MATHEMATICS, 2021, 6 (10): : 11029 - 11045
  • [32] RETRACTED: Bipolar Fuzzy Implicative Ideals of BCK-Algebras (Retracted Article)
    Muhiuddin, G.
    Al-Kadi, D.
    JOURNAL OF MATHEMATICS, 2021, 2021
  • [33] A FRACTION STRUCTURE ON IMPLICATIVE BCK-ALGEBRAS
    Heubo-Kwegna, Olivier A.
    Nganou, Jean B.
    JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2015, 36 (01): : 91 - 98
  • [34] β-RELATIONS ON IMPLICATIVE BOUNDED HYPER BCK-ALGEBRAS
    Rasouli, S.
    Heidari, D.
    Davvaz, B.
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2010, 39 (04): : 461 - 469
  • [35] Implicative N-ideals of BCK-algebras based on neutrosophic N-structures
    Muhiuddin, G.
    Kim, Seon Jeong
    Jun, Young Bae
    DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2019, 11 (01)
  • [36] Fuzzy categorical ideals in BCK-algebras
    Hong, SM
    Jun, YB
    Kim, SJ
    INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 1996, 4 (04) : 369 - 378
  • [37] Fuzzy Nilpotent Ideals in BCK-Algebras
    Mohammadzadeh, E.
    Muhiuddin, G.
    Borzooei, R. A.
    NEW MATHEMATICS AND NATURAL COMPUTATION, 2024, 20 (01) : 233 - 245
  • [38] Prime Ideals in BCI and BCK-Algebras
    Borzooei, R. A.
    Zahiri, O.
    ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2012, 39 (02): : 266 - 276
  • [39] FUZZY COMMUTATIVE IDEALS OF BCK-ALGEBRAS
    JUN, YB
    ROH, EH
    FUZZY SETS AND SYSTEMS, 1994, 64 (03) : 401 - 405
  • [40] CUBIC COMMUTATIVE IDEALS OF BCK-ALGEBRAS
    Senapati, Tapan
    Shum, K. P.
    MISSOURI JOURNAL OF MATHEMATICAL SCIENCES, 2018, 30 (01) : 5 - 19
12345