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<p>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.</p>

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Different Prime Product Fractal Ideals in a Nearring

  • 期刊论文

  • 发表日期：

    2025年7月18日

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  • Chaithra B. J,
  • Babushri Srinivas Kedukodi,
  • Aishwarya S,
  • Kavitha Koppula,
  • Syam Prasad Kuncham

摘要

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.