Permutation identities and fractal structure of rings
Beitrage zur Algebra und Geometrie
We introduce the notion of a product fractal ideal of a ring using permutations of finite sets and multiplication operation in the ring. This notion generalizes the concept of an ideal of a ring. We obtain the corresponding quotient structure that partitions the ring under certain conditions. We prove fractal isomorphism theorems and illustrate the fractal structure involved with examples. These fractal isomorphism theorems extend the classical isomorphism theorems in rings, providing a broader viewpoint.
Aishwarya, S.; Kedukodi, Babushri Srinivas; and Kuncham, Syam Prasad, "Permutation identities and fractal structure of rings" (2023). Open Access archive. 6372.