Hypermatrix Based on Krasner Hypervector Spaces

Maedeh Motameni, R. Ameri, Razieh Sadeghi


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.


Hypermatrix, Hypervector spaces, Basis of a hyper- vector space, Multivalued linear transformations.

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