Bi Ideals of Nearness Semirings

Abstract

Bi ideals are the generalisation of quasi ideals. In this article, it is defined that the notion of bi-ideals in semirings on weak nearness approximation spaces. Afterwards, it is explained that some of the concepts and definitions related to the subject. Also, it is given that the definition of nearness −bi ideals and nearness ( , ) −quasi ideals. Thus, we examine the relationship between nearness m-bi ideals and nearness (m,n)-quasi ideals .

Quotient Nearness d-Algebras

“…In 2012, İnan and Öztürk analyzed the concept of nearness groups and investigated their basic properties ( [2]). After, in [3] and [13] the nearness semigroups and nearness rings were established and their basic properties were investigated respectively (and other algebraic approaches of near sets in see [10], [12], [14], [15], [16], [16], [19], [27], [28], and [29]).…”