ON IDEALS OF THE NEARNESS RINGS.

In this paper, we introduce a different approach for algebraic structures. Because, in the concept of ordinary algebraic structures, an algebraic structure consists of a nonempty set of abstract points with one or more binary operations, and it is required to satisfy certain axioms. But, we can use perceptual objects (non-abstract points) on weak nearness approximation space. This is like as a real life. The problem considered in this paper is to determine such features of ideals on weak nearness approximation space. We defined that upper nearness ideal generated by a subset of the ring on weak nearness approximation spaces and introduce some properties of these ideals. In addition to this, it is defined that nearness prime and nearness maximal ideals of the nearness rings and introduce some properties of these ideals. [ABSTRACT FROM AUTHOR]