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A Note on Ideals of Gamma Nearness Rings

Author

Listed:
  • Mehmet Ali Öztürk

    (Department of Mathematics, Faculty of Arts and Sciences, Adıyaman University, 02040/Adıyaman, Turkey)

  • Özlem Tekin

    (Department of Mathematics, Faculty of Arts and Sciences, Adıyaman University, 02040/Adıyaman, Turkey)

Abstract

The aim of this paper is to study the notion of ideals in gamma rings on weak nearness approximation spaces and explain some of the concepts and definitions. Also, an example is given related to the subject. The features described in this study will contribute greatly to the theoretical development of the gamma nearness rings theory. 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, prime nearness ideals and maximal nearness ideals of the gamma nearness rings are defined and some properties of these ideals are introduced.

Suggested Citation

  • Mehmet Ali Öztürk & Özlem Tekin, 2023. "A Note on Ideals of Gamma Nearness Rings," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 19(02), pages 415-431, July.
    • Handle: RePEc:wsi:nmncxx:v:19:y:2023:i:02:n:s179300572350014x
    DOI: 10.1142/S179300572350014X
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