Permutation identities and fractal structure of rings

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
JournalBeitrage zur Algebra und Geometrie
DOIs
Publication statusAccepted/In press - 2023

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Geometry and Topology

Fingerprint

Dive into the research topics of 'Permutation identities and fractal structure of rings'. Together they form a unique fingerprint.

Cite this