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Department of Mathematics Yazd University, Yazd Iran
Abstract
Krasner hyperrings are a generalization of rings. Indeed, in a Krasner hyperring the addition is a hyperoperation, while the multiplication is an ordinary operation. On the other hand, a generalization of rough set theory is the near set theory. Now, in this paper we are interested in combining these concepts. We study and investigate the notion of near Krasner hyperrings on a nearness approximation space. Also, we define near subhyperring, near hyperideal, near homomorphism and prove some results and present several examples in this respect.
Mostafavi, M., & Davvaz, B. (2022). Near Krasner hyperrings on nearness approximation space. Journal of Algebraic Hyperstructures and Logical Algebras, 3(4), 1-23.
MLA
M. Mostafavi; B. Davvaz. "Near Krasner hyperrings on nearness approximation space". Journal of Algebraic Hyperstructures and Logical Algebras, 3, 4, 2022, 1-23.
HARVARD
Mostafavi, M., Davvaz, B. (2022). 'Near Krasner hyperrings on nearness approximation space', Journal of Algebraic Hyperstructures and Logical Algebras, 3(4), pp. 1-23.
VANCOUVER
Mostafavi, M., Davvaz, B. Near Krasner hyperrings on nearness approximation space. Journal of Algebraic Hyperstructures and Logical Algebras, 2022; 3(4): 1-23.
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