Tensor Product of Hypervector Spaces

Authors

  • Reza Ameri University of Tehran
  • Karim Ghadimi Payame Noor University
  • R.A. Borzooei Shahid Beheshti University

Keywords:

‎hypervector space‎, multivalued middle linear map, quasi-free, ‎tensor product

Abstract

We introduce and study tensor product of hypervector spaces (or
hyperspaces) based on Tallini hypervector spaces. Here we introduce the
(resp. multivalued) middle linear maps of hyperspaces and construct the
categories of linear maps and multivalued linear maps of hyperspaces.
It is shown the tensor product of two hypespaces, as an initial object
in this category, exists. Also, notion of a quasi-free object in category
of hyperspaces are introduced and it is proved that in this category a
quasi-free object up to maximum is unique.

Author Biographies

Reza Ameri, University of Tehran

Karim Ghadimi, Payame Noor University

R.A. Borzooei, Shahid Beheshti University

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How to Cite

Ameri, R., Ghadimi, K., & Borzooei, R. (2017). Tensor Product of Hypervector Spaces. European Journal of Pure and Applied Mathematics, 10(4), 702–716. Retrieved from https://ejpam.com/index.php/ejpam/article/view/2753