On 2-absorbing Primary Ideals in Commutative Γ-semirings

被引：0
|
作者：
Sangjaer, Nuttawut [1 ]
Pianskool, Sajee [1 ]
机构：
[1] Chulalongkorn Univ, Dept Math & Comp Sci, Fac Sci, Bangkok, Thailand
来源：
THAI JOURNAL OF MATHEMATICS | 2020年
关键词：
Gamma-semirings; 2-absorbing primary ideals; 2-absorbing ideals; prime ideals; primary ideals;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The definition of 2-absorbing primary ideals which are generalizations of prime ideals and 2-absorbing ideals in commutative Gamma-semirings is given. Then, various properties of 2-absorbing primary ideals are investigated. Moreover, characterizations of ideals to be 2-absorbing primary ideals are provided.
引用
收藏
页码：49 / 60
页数：12
相关论文
共 50 条
  • [1] On 2-Absorbing Primary Ideals in Commutative Semirings
    Kumar, Pratibha
    Dubey, Manish Kant
    Sarohe, Poonam
    [J]. EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2016, 9 (02): : 186 - 195
  • [2] On 2-absorbing ideals of commutative semirings
    Sawalmeh, Leena
    Saleh, Mohammed
    [J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2023, 22 (03)
  • [3] On 2-absorbing ideals of commutative semirings
    Behzadipour, H.
    Nasehpour, P.
    [J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2020, 19 (02)
  • [4] On 2-Absorbing and Weakly 2-Absorbing Ideals of Commutative Semirings
    Darani, Ahmad Yousefian
    [J]. KYUNGPOOK MATHEMATICAL JOURNAL, 2012, 52 (01): : 91 - 97
  • [5] ON 2-ABSORBING FUZZY IDEALS OF COMMUTATIVE SEMIRINGS
    Mandal, Debabrata
    [J]. TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2021, 11 (02): : 368 - 373
  • [6] 2-ABSORBING INTUITIONISTIC FUZZY IDEALS OF COMMUTATIVE SEMIRINGS
    Ozkan, Erdogan Mehmet
    Onar, Serkan
    Ozkan, Ayten
    Ayan, Rabia
    [J]. JOURNAL OF SCIENCE AND ARTS, 2023, (01): : 187 - 198
  • [7] On 2-absorbing ideals of non-commutative semirings
    Adarbeh, Mohammad
    Saleh, Mohammad
    [J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024,
  • [8] On 2-Absorbing and Weakly 2-Absorbing Primary Ideals of a Commutative Semiring
    Soheilnia, Fatemeh
    [J]. KYUNGPOOK MATHEMATICAL JOURNAL, 2016, 56 (01): : 107 - 120
  • [9] On 2-absorbing Primary Ideals of Commutative Semigroups
    Mandal, Manasi
    Khanra, Biswaranjan
    [J]. KYUNGPOOK MATHEMATICAL JOURNAL, 2022, 62 (03): : 425 - 436
  • [10] ON 2-ABSORBING PRIMARY IDEALS IN COMMUTATIVE RINGS
    Badawi, Ayman
    Tekir, Unsal
    Yetkin, Ece
    [J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2014, 51 (04) : 1163 - 1173
12345