habeeb kareem abdullah al-bdairi

In this paper, we introduce the notions of uniform space and study these notions on a semi uniform space. Also We stated and prove some theorems which determine the relationship between these notions and some types of semi uniform space.

In this paper ,we study a new type of ideals its called complete BCK-ideal , and also we defined terms closed complete BCK-ideal , closed with respect to BCK-ideal , implicative with respect to BCK-ideal , and also some of theorems , we make clear its relationships with ideal in BCK-algebra.

In this work, we were able to characterize the available information about topological group and studied the widest range of group or which is called topological monoid , and we studied topological transformation monoid (M - space) and the most important c haracteristics and we came to define a new type of spaces called M - periodic space.

In this paper, we study a new types of filters its called complete BCK-filter denoted by (c-BCK-filter), complete crazy filter denoted by (c-crazy filter) and closed with respect to c-BCK filter. Also we stated and prove some theorems which determine the relationship between these notions.

The main goal of this work is to create a general type of proper G - space, namely,delta Borbaki proper G - space and to explain some of equivalent statements and theorems of δ - Borbaki proper action.

Abstract : in this paper we introduce the notion of semi d-ideal of d-algebra, and investigate many theorems and examples for this notion, Furthermore we investigate many relations and theorem between semi d-ideal and each of d-ideal and BCK-ideal