Permutation identities and fractal structure of rings

Document Type

Article

Publication Title

Beitrage zur Algebra und Geometrie

Abstract

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.

First Page

157

Last Page

185

DOI

10.1007/s13366-022-00680-w

Publication Date

3-1-2024

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