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Gamma nearness near rings

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Abstract

In this article, we define the notion of \(\Gamma \)-near-rings on weak nearness approximation spaces and explain some of the concepts and definitions. Then, we study some basic properties of \(\Gamma \)-nearness near-rings. \(\Gamma \)-nearness near-rings are different from \(\Gamma \)-nearness rings and \(\Gamma \)-nearness semirings because the set of \(\Gamma \) does not have to be grouped in \(\Gamma \)-nearness near-rings. Because of this, some properties defined in \(\Gamma \)-nearness rings and \(\Gamma \)-nearness semirings show some changes in \(\Gamma \)-nearness near-rings.

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  1. Department of Mathematics, Faculty of Arts and Sciences, Adıyaman University, 02040, Adıyaman, Turkey

    Özlem Tekin

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  1. Özlem Tekin
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Tekin, Ö. Gamma nearness near rings. Afr. Mat. 33, 90 (2022). https://doi.org/10.1007/s13370-022-01024-6

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