Spectrum of Zariski Topology in Multiplication Krasner Hypermodules

被引:0
|
作者
Turkmen, Ergul [1 ]
Turkmen, Burcu Nisanci [1 ]
Kulak, Oznur [1 ]
机构
[1] Amasya Univ, Fac Arts & Sci, Dept Math, TR-05100 Amasya, Turkiye
关键词
pseudo-prime spectrum; Zariski topology; spectral hyperspace;
D O I
10.3390/math11071754
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we define the concept of pseudo-prime subhypermodules of hypermodules as a generalization of the prime hyperideal of commutative hyperrings. In particular, we examine the spectrum of the Zariski topology, which we built on the element of the pseudo-prime subhypermodules of a class of hypermodules. Moreover, we provide some relevant properties of the hypermodule in this topological hyperspace.
引用
收藏
页数:10
相关论文
共 50 条
  • [1] Zariski Topology Over Multiplication Krasner Hypermodules
    Ö. Kulak
    B. N. Türkmen
    [J]. Ukrainian Mathematical Journal, 2022, 74 : 597 - 607
  • [2] Zariski Topology Over Multiplication Krasner Hypermodules
    Kulak, O.
    Turkmen, B. N.
    [J]. UKRAINIAN MATHEMATICAL JOURNAL, 2022, 74 (04) : 597 - 607
  • [3] KRASNER HYPERMODULES OF GENERALIZED FRACTIONS
    Mortazavi, A.
    Davvaz, Bijan
    [J]. SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2018, 9 (01): : 39 - 62
  • [4] Projective and injective Krasner hypermodules
    Ameri, R.
    Shojaei, H.
    [J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2021, 20 (10)
  • [5] SOME PROPERTIES OF THE ZARISKI TOPOLOGY OF MULTIPLICATION MODULES
    Ameri, Reza
    [J]. HOUSTON JOURNAL OF MATHEMATICS, 2010, 36 (02): : 337 - 344
  • [6] t-Extending Krasner Hypermodules
    Turkmen, Burcu Nisanci
    [J]. BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2022, 40
  • [7] SOME RESULTS ON CATEGORIES OF KRASNER HYPERMODULES
    Shojaei, H.
    Ameri, R.
    [J]. JOURNAL OF FUNDAMENTAL AND APPLIED SCIENCES, 2016, 8 : 2298 - 2306
  • [8] Zariski Topology of Prime Spectrum of a Module
    Sanh, N. V.
    Thao, L. P.
    Al-Mayahi, N. F. A.
    Shum, K. P.
    [J]. PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON ALGEBRA 2010: ADVANCES IN ALGEBRAIC STRUCTURES, 2012, : 461 - 477
  • [9] On the Maximal Spectrum of a Module and Zariski Topology
    Ansari-Toroghy, H.
    Keyvani, S.
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2015, 38 (01) : 303 - 316
  • [10] On the Maximal Spectrum of a Module and Zariski Topology
    H. Ansari-Toroghy
    S. Keyvani
    [J]. Bulletin of the Malaysian Mathematical Sciences Society, 2015, 38 : 303 - 316