Yakınlık Yarı Halkalarının Bi İdealleri

Year 2021, Issue: 28, 11 - 15, 30.11.2021

Özlem Tekin

https://doi.org/10.31590/ejosat.973355

Abstract

Bi idealler, quasi ideallerin bir genelleştirmesidir. Bu çalışmada, zayıf yakınlık yaklaşım uzaylarında bi-idealler kavramı tanımlandı. Daha sonra, konuyla ilgili bazı tanımlar ve kavramlar açıklandı. Ayrıca, yakınlık m-bi idealleri ve yakınlık (m,n)-quasi ideallerinin tanımları verildi. Böylece, yakınlık m-bi idealleri ve yakınlık (m,n)-quasi ideallerinin aralarındaki ilişkiyi inceledik.

Keywords

Yakınlık Yaklaşım Uzayları, Yarı Halkalar, Yakınlık Yarı Halkaları, Quasi idealler, Bi idealler.

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 m-bi ideals and nearness (m,n)-quasi ideals. Thus, we examine the relationship between nearness m-bi ideals and nearness (m,n)-quasi ideals .

Keywords

Nearness approximation space, Semirings, Nearness semiring, Quasi ideals, Bi ideals.

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