Inductive Limits in Matrix Quasi Ordered Vector Spaces

Inductive limits, if they exist in a category, play an important role to yield more new objects. In this paper we show the category of matrix quasi ordered vector spaces is a category with inductive limits. Then we construct the inductive limit in the category of Archimedean quasi ordered vector spaces, independent of Archimedeanization process, too.

Inductive Limits in Matrix Quasi Ordered Vector Spaces Keywords:

Quasi ordered *-vector spaces , Matrix quasi ordered *-vector spaces , Inductive limit , State space