A Note on Ideals of Gamma Nearness Rings

Mehmet Ali Öztürk and Özlem Tekin ()
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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

New Mathematics and Natural Computation (NMNC), 2023, vol. 19, issue 02, 415-431

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.

Keywords: Near sets; nearness approximation spaces; weak nearness approximation spaces; gamma nearness rings; prime nearness ideals; maximal nearness ideals (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S179300572350014X

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