A NOTE ON DIMENSION OF WEAK HYPERVECTOR SPACES

被引:0
|
作者
Taghavi, A. [1 ]
Hosseinzadeh, R. [1 ]
机构
[1] Univ Mazandaran, Fac Basic Sci, Dept Math, POB 47416-1468, Babol Sar, Iran
关键词
hypervector space; linearly dependent and independent; basis; coordinate; dimension; normal hypervector space;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study the dimension of weak hypervector spaces. First, we define linearly dependence and independence of vectors and also basis of weak hyper vector spaces and then prove some results in this field. Finally, we consider weak subhypervector spaces of such spaces.
引用
收藏
页码:7 / 14
页数:8
相关论文
共 50 条
  • [1] A note on dimension of weak hypervector spaces
    [J]. 1600, Forum-Editrice Universitaria Udinese SRL
  • [2] On Dimension of Hypervector Spaces
    Ameri, R.
    Dehghan, O. R.
    [J]. EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2008, 1 (02): : 32 - 50
  • [3] A NOTE ON OPERATORS ON NORMED FINITE DIMENSIONAL WEAK HYPERVECTOR SPACES
    Taghavi, Ali
    Vougiouklis, Thomas
    Hosseinzadeh, Roja
    [J]. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2012, 74 (04): : 103 - 108
  • [4] DIMENSION OF FUZZY HYPERVECTOR SPACES
    Ameri, R.
    Dehghan, O. R.
    [J]. IRANIAN JOURNAL OF FUZZY SYSTEMS, 2011, 8 (05): : 149 - 166
  • [5] Soft hypervector spaces and fuzzy soft hypervector spaces
    Ranjbar-Yanehsari, Esmail
    Asghari-Larimi, Mohsen
    Ameri, Reza
    [J]. EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2019, 12 (01): : 118 - 134
  • [6] Ordered hypervector spaces
    Mahdavi, Ghasem
    Behzadi, Abolfazl
    Taghavi, Ali
    [J]. Italian Journal of Pure and Applied Mathematics, 2020, 44 : 687 - 697
  • [7] NORMED HYPERVECTOR SPACES
    Raja, P.
    Vaezpour, S. M.
    [J]. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2007, 2 (02): : 35 - 44
  • [8] Additive Maps Preserving the Essential Points Between Weak Hypervector Spaces
    Taghavi, Ali
    Hosseinzadeh, Roja
    Maghsoomi, Azam
    [J]. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2020, 11 (02): : 540 - 549
  • [9] Linear Functionals on Hypervector Spaces
    Dehghan, O. R.
    [J]. FILOMAT, 2020, 34 (09) : 3031 - 3043
  • [10] Unisoft Hypervector Spaces
    Al-Roqi, Abdullah M.
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2014,