PRIME GRAPHS OF COMMUTATIVE RINGS WITH STRONG COMMUTATIVITY PRESERVING MAPS
DOI: 10.70382/hijiras.v08i2.042
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Keywords

Prime graphs
Commutative ring
Strong commutativity preserving
Map

How to Cite

A. T. IMAM, N. B. SADA, & M. A. KHAN. (2025). PRIME GRAPHS OF COMMUTATIVE RINGS WITH STRONG COMMUTATIVITY PRESERVING MAPS. International Journal of Innovation Research and Advanced Studies, 8(2). https://doi.org/10.70382/hijiras.v08i2.042

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Abstract

In this research work, we study the commutativity in ring R in relation with strong commutativity preserving maps (SCP). We extend the applications of our results in R to prime graphs. Let P be a nonempty subset of a ring R. A mapping ????: ???? → ???? is said to be strong commutativity preserving maps on P if [????(????), ????(????)] = [????, ????] for all ????, ???? ∈ ????.

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This work is licensed under a Creative Commons Attribution 4.0 International License.

Copyright (c) 2025 A. T. IMAM, N. B. SADA, M. A. KHAN (Author)

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