On Some Properties of Neutrosophic Quadruple Hv-rings

被引：0
|
作者：
Al-Tahan M. [1 ]
Davvaz B. [2 ]
机构：
[1] Department of Mathematics, Lebanese International University, Bekaa
[2] Department of Mathematics, Yazd University, Yazd
来源：
Neutrosophic Sets and Systems | 2020年 / 36卷
关键词：
H[!sub]v[!/sub]-ring; neutrosophic homo-morphism; neutrosophic quadruple H[!sub]v[!/sub]-ring; neutrosophic quadruple number;
D O I：
10.5281/zenodo.4069224
中图分类号：
学科分类号：
摘要：
Hyperstructure theory, an 86 years old theory, has been of great interest for many algebraists where their researches were divided in to two categories: theory and applications. On the other hand, neutrosophic theory which is the study of neutralities, was introduced and developed by F. Smarandache in 1995 as an extension of dialectics. The purpose of this paper is to study some connections between the two theories: Neutrosophy and hyperstructures. In this regard, we define neutrosophic quadruple Hv-rings, neutrosophic quadruple Hv-subrings, and neutrosophic quadruple homomorphism and study their various properties. © 2020. Neutrosophic Sets and Systems. All Rights Reserved.
引用
收藏
页码：257 / 270
页数：13
相关论文
共 50 条
  • [1] On Hv-rings and Hv-representations
    Vougiouklis, T
    DISCRETE MATHEMATICS, 1999, 208 : 615 - 620
  • [2] Some Results on (Generalized) Fuzzy Multi-Hv-Ideals of Hv-Rings
    Al Tahan, Madeline
    Hoskova-Mayerova, Sarka
    Davvaz, Bijan
    SYMMETRY-BASEL, 2019, 11 (11):
  • [3] On Neutrosophic Quadruple Hv-Groups and Their Properties
    Al-Tahan, M.
    Davvaz, B.
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2020, 44 (05) : 613 - 625
  • [4] Fuzzy Hv-ideals in Γ-Hv-rings
    Davvaz, Bijan
    Zhan, Jianming
    Yin, Yunqiang
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (03) : 690 - 698
  • [5] Generalized fuzzy Hv-ideals of Hv-rings
    Davvaz, Bijan
    Zhan, Jianming
    Shum, K. P.
    INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2008, 37 (03) : 329 - 346
  • [6] Product of fuzzy Hv-ideals in Hv-rings
    Davvaz, B.
    Korean Journal of Computational and Applied Mathematics, 2001, 8 (03): : 685 - 693
  • [7] The Structure of Idempotents in Neutrosophic Rings and Neutrosophic Quadruple Rings
    Ma, Yingcang
    Zhang, Xiaohong
    Smarandache, Florentin
    Zhang, Juanjuan
    SYMMETRY-BASEL, 2019, 11 (10):
  • [8] On the numbers of Hv-rings with P-hyperoperations
    Discrete Math, 1-3 (225):
  • [9] On the number of Hv-rings with P-hyperoperations
    Department of Mathematics, School of Engineering, Democritus University of Thrace, 67100 Xanthi, Greece
    Discrete Math, 1-3 (225-231):
  • [10] Commutative rings obtained from hyperrings (Hv-rings) with α*-relations
    Davvaz, B.
    Vougiouklis, T.
    COMMUNICATIONS IN ALGEBRA, 2007, 35 (11) : 3307 - 3320
12345