Download PDF - A note on hypervector spaces
ArticleOriginal scientific text
Title
A note on hypervector spaces
Authors 1, 2
Affiliations
- Department of Mathematics, South Bantra Ramkrishna Institution West Bengal, India
- Department of Mathematics, Uluberia College West Bengal, India
Abstract
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.
Keywords
hyperoperation, hyperfield, hypervector spaces, linear dependent, linear independent
Bibliography
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Pages:
75-99
Main language of publication
English
Received
2010-03-23
Accepted
2010-09-09
Published
2011
DOI: 10.7151/dmgaa.1176
Exact and natural sciences