φ -δ-Primary Hyperideals in Krasner Hyperrings

被引:1
|
作者
Guan, Hao [1 ,2 ]
Kaya, Elif [3 ]
Bolat, Melis [4 ]
Onar, Serkan [5 ]
Ali Ersoy, Bayram [4 ]
Hila, Kostaq [6 ]
机构
[1] Guangzhou Univ, Inst Comp Sci & Technol, Guangzhou 510006, Peoples R China
[2] Qiannan Normal Univ Nationalities, Sch Comp Sci Informat Technol, Duyun 558000, Guizhou, Peoples R China
[3] Istanbul Sabahattin Zaim Univ, Dept Math & Sci Educ, Istanbul, Turkey
[4] Yildiz Tech Univ, Dept Math, Istanbul, Turkey
[5] Yildiz Tech Univ, Dept Math Engn, Istanbul, Turkey
[6] Polytech Univ Tirana, Dept Math Engn, Tirana, Albania
基金
中国博士后科学基金;
关键词
Algebra;
D O I
10.1155/2022/1192684
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper, we study commutative Krasner hyperrings with nonzero identity. phi-prime, phi-primary and phi-delta-primary hyperideals are introduced. The concept of delta-primary hyperideals is extended to phi-delta-primary hyperideals. Some characterizations of hyperideals are provided to classify them. The relation between phi-delta-primary hyperideals and other hyperideals is discussed.
引用
收藏
页数:12
相关论文
共 50 条
  • [1] Prime and primary hyperideals in Krasner (m, n)-hyperrings
    Ameri, R.
    Norouzi, M.
    EUROPEAN JOURNAL OF COMBINATORICS, 2013, 34 (02) : 379 - 390
  • [2] Operations on hyperideals in ordered Krasner hyperrings
    Omidi, S.
    Davvaz, B.
    Corsini, P.
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2016, 24 (03): : 275 - 293
  • [3] Height of Prime Hyperideals in Krasner Hyperrings
    Bordbar, Hashem
    Cristea, Irina
    FILOMAT, 2017, 31 (19) : 6153 - 6163
  • [4] HEIGHT OF HYPERIDEALS IN NOETHERIAN KRASNER HYPERRINGS
    Bordbar, Hashem
    Cristea, Irina
    Novak, Michal
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2017, 79 (02): : 31 - 42
  • [5] Normal hyperideals in Krasner (m, n)-hyperrings
    Norouzi, Morteza
    Ameri, Reza
    Leoreanu-Fotea, Violeta
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2018, 26 (03): : 197 - 211
  • [6] r-Hyperideals and Generalizations of r-Hyperideals in Krasner Hyperrings
    Xu, Peng
    Bolat, Melis
    Kaya, Elif
    Onar, Serkan
    Ersoy, Bayram Ali
    Hila, Kostaq
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2022, 2022
  • [7] ON (k, n)-ABSORBING HYPERIDEALS IN KRASNER (m, n)-HYPERRINGS
    Hila, Kostaq
    Naka, Krisanthi
    Davvaz, Bijan
    QUARTERLY JOURNAL OF MATHEMATICS, 2018, 69 (03): : 1035 - 1046
  • [8] 3-r-hyperideals and 0-3-r-hyperideals of commutative Krasner hyperrings
    Xua, Peng
    Bolatb, Melis
    Kayac, Elif
    Onard, Serkan
    Ersoyb, Bayram Ali
    Hilae, Kostaq
    PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, 2023, 72 (01) : 96 - 103
  • [9] Integral closures, primary hyperideals and hypervaluation hyperideals of Kranser hyperrings
    Nikmehr, M. J.
    Nikandish, R.
    Yassine, A.
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2023, 22 (08)
  • [10] n-Ary k-absorbing hyperideals in krasner (m, n)-hyperrings
    Yassine, A.
    Nikmehr, M. J.
    Nikandish, R.
    AFRIKA MATEMATIKA, 2022, 33 (01)