Permutation identities and fractal structure of rings

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1 Citation (Scopus)


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
Pages (from-to)157-185
Number of pages29
JournalBeitrage zur Algebra und Geometrie
Issue number1
Publication statusAccepted/In press - 2023

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Geometry and Topology


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