Hypermatrix Based on Krasner Hypervector Spaces

Ratio Mathematica

Razieh Sadeghi¹  Maedeh Motameni²  R. Ameri³ 

[1] Faculty of Mathematics, University of Mazandaran, Babolsar, Iran;Islamic Azad University,Qaemshahr, Iran,;School of Mathematics, Statistics and Computer Sciences,University of Tehran, Tehran, Iran,;

关键词: Hypermatrix, Hypervector spaces, Basis of a hyper- vector space, Multivalued linear transformations.;   

DOI  :  

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown