TY - JOUR
T1 - Permutation identities and fractal structure of rings
AU - Aishwarya, S.
AU - Kedukodi, Babushri Srinivas
AU - Kuncham, Syam Prasad
N1 - Funding Information:
The authors thank the reviewers for their valuable comments and suggestions. The authors acknowledge Manipal Institute of Technology, Manipal Academy of Higher Education for the encouragement. The first author acknowledges Manipal Academy of Higher Education for Dr TMA Pai PhD scholarship.
Publisher Copyright:
© 2023, The Author(s).
PY - 2023
Y1 - 2023
N2 - 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.
AB - 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.
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U2 - 10.1007/s13366-022-00680-w
DO - 10.1007/s13366-022-00680-w
M3 - Article
AN - SCOPUS:85145893186
SN - 0138-4821
JO - Beitrage zur Algebra und Geometrie
JF - Beitrage zur Algebra und Geometrie
ER -