Tensor Product of Hypervector Spaces
Keywords:â€Žhypervector spaceâ€Ž, multivalued middle linear map, quasi-free, â€Žtensor product
AbstractWe 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.
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