Categorical properties of regular partially ordered pure monomorphisms

Subject Areas : Statistics

H. Barzegar ¹ (Department of Mathematics,Tafresh university, Tafresh, Iran)

Received: 2017-03-05 Accepted : 2017-06-11 Published : 2017-05-01

Keywords: S-مجموعه مرتب جزیی, تکریختی‌های خالص مرتب جزیی, حدها, هم‌حدها,

Abstract :

Let a family of monomorphisms in the category A‎To study mathematical notions in a category A‎, ‎such as injectivity‎, ‎tensor products‎, ‎flatness‎, ‎with respect to a class Mof its (mono)morphisms‎, ‎one should know some of the categorical properties of the pair (A‎,M ‎)‎. ‎In this paper we take Ato be the‎‎category Pos-S of S-partially ordered sets and to be a particular‎ class of monomorphisms‎, ‎to be called partially‎ ‎ordered regular pure(po-pure)} monomorphisms‎. In this paper we investigate‎ some categorical properties such as limits and colimits for this class‎.