Permutation identities and fractal structure of rings

Author:

Aishwarya S.,Kedukodi Babushri SrinivasORCID,Kuncham Syam Prasad

Abstract

AbstractWe 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.

Funder

Manipal Academy of Higher Education, Manipal

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Algebra and Number Theory

Reference25 articles.

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