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.

کلیدواژه ها:

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