2010/02/19 by Sanjay Roy, Roy, Sanjay, T. K. Samanta +1
Mathematics · #14L17 #20N20 #FOS: Mathematics #General Mathematics (math.GM) #math.GM #msc:14L17 #msc:20N20
paper · pdf · doi:10.48550/arxiv.1002.3816
17 pages
arxiv created 2011/06/07 · arxiv updated 2011/06/08
The main aim of this paper is to generalize the concept of vector space by the hyperstructure. We generalize some definitions such as hypersubspaces, linear combination, Hamel basis, linearly dependence and linearly independence. A few important results like deletion theorem, extension theorem, dimension theorem have been established in this hypervector space.