TY - JOUR
T1 - Different Prime Product Fractal Ideals in a Nearring
AU - Chaithra, B. J.
AU - Kedukodi, Babushri Srinivas
AU - Aishwarya, S.
AU - Koppula, Kavitha
AU - Kuncham, Syam Prasad
N1 - Publisher Copyright:
© The Indian National Science Academy 2025.
PY - 2025/9
Y1 - 2025/9
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/105011028478
UR - https://www.scopus.com/pages/publications/105011028478#tab=citedBy
U2 - 10.1007/s13226-025-00821-6
DO - 10.1007/s13226-025-00821-6
M3 - Article
AN - SCOPUS:105011028478
SN - 0019-5588
VL - 56
SP - 1053
EP - 1064
JO - Indian Journal of Pure and Applied Mathematics
JF - Indian Journal of Pure and Applied Mathematics
IS - 3
ER -