Near Polygroups on Nearness Approximation Spaces

M. Mostafavi () and B. Davvaz
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M. Mostafavi: Department of Mathematics, Yazd University, Yazd, Iran
B. Davvaz: Department of Mathematics, Yazd University, Yazd, Iran

New Mathematics and Natural Computation (NMNC), 2022, vol. 18, issue 03, 593-613

Abstract: In this paper, we consider the problem of how to establish algebraic structures of near sets on nearness approximation spaces. Essentially, our approach is to define the near polygroup of all weak cosets by considering an hyperoperation on the set of all weak cosets. Afterwards, our aim is to study near homomorphism theorems on near polygroups, and investigate some characterizations of near polygroups.

Keywords: Nearness approximation space; near polygroup; near subpolygroup; near homomorphism (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S1793005722500302

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