Hypermatrix Based on Krasner Hypervector Spaces

Authors

  • Maedeh Motameni Islamic Azad University,Qaemshahr, Iran,
  • R. Ameri School of Mathematics, Statistics and Computer Sciences, University of Tehran, Tehran, Iran,
  • Razieh Sadeghi Faculty of Mathematics, University of Mazandaran, Babolsar, Iran

Keywords:

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

Abstract

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.

References

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T. Vougiouklis, HV Vector Spaces, 5th Int. Cong. on AHA, Iasi, Roma-nia, 181{190, 1994.

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Published

2013-12-29

Issue

Vol. 25 (2013)

Section

Volume 25-2013

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