Hypermatrix Based on Krasner Hypervector Spaces

In this paper we extend a very specific class of hypervector spaces called Krasner hypervector spaces in order to obtain a hypermatrix. For reaching to this goal, we will define dependent and independent vectors in this kind of hypervector space and define basis and dimension for it. Also, by using...

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Bibliographic Details
Published in:Ratio mathematica 2013-12, Vol.25 (1), p.77-94
Main Authors: Motameni, Maedeh, Ameri, R, Sadeghi, Razieh
Format: Article
Language:English
Subjects:
Hypermatrix, Hypervector spaces, Basis of a hyper- vector space, Multivalued linear transformations
Linear transformations
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Summary:In this paper we extend a very specific class of hypervector spaces called Krasner hypervector spaces in order to obtain a hypermatrix. For reaching to this goal, we will define dependent and independent vectors in this kind of hypervector space and define basis and dimension for it. Also, by using multivalued linear transformations, we examine the possibility of existing a free object here. Finally, we study the fundamental relation on Krasner hypervector spaces and we define a functor.
ISSN:1592-7415
2282-8214