Different Prime Product Fractal Ideals in a Nearring

Chaithra B. J (), Babushri Srinivas Kedukodi (), Aishwarya S (), Kavitha Koppula () and Syam Prasad Kuncham ()
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Chaithra B. J: Manipal Institute of Technology, Manipal Academy of Higher Education
Babushri Srinivas Kedukodi: Manipal Institute of Technology, Manipal Academy of Higher Education
Aishwarya S: Manipal Institute of Technology, Manipal Academy of Higher Education
Kavitha Koppula: Manipal Institute of Technology, Manipal Academy of Higher Education
Syam Prasad Kuncham: Manipal Institute of Technology, Manipal Academy of Higher Education

Indian Journal of Pure and Applied Mathematics, 2025, vol. 56, issue 3, 1053-1064

Abstract: Abstract Fractals are infinitely intricate structures that exhibit self-similarity at every scale. Nearrings, which demonstrate both algebraic properties and fractal-like behavior, include various types of prime ideals. A product fractal ideal in a nearring generalizes the concept of an ideal. In this work, we introduce multiple forms of prime product fractal ideals, extending notions of prime ideals in a nearring. We characterize these prime product fractal ideals and investigate their interrelationships.

Keywords: Nearrings; Permutation identities; Fractals; Prime ideals; 16Y30; 05A05; 18A32; 16D25. (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s13226-025-00821-6

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