PRIME GRAPHS OF COMMUTATIVE RINGS WITH STRONG COMMUTATIVITY PRESERVING MAPS

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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Publication Details

Journal
International Journal of Innovation Research and Advanced Studies
Published
2025-07-16
DOI
https://doi.org/10.70382/hijiras.v08i2.042
Primary Topic
Advanced Topics in Algebra
Type
article
Field-Weighted Citation Impact
0.00
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article

PRIME GRAPHS OF COMMUTATIVE RINGS WITH STRONG COMMUTATIVITY PRESERVING MAPS

Imam Akeyede, M. A. Khan, N. B. SADA
International Journal of Innovation Research and Advanced Studies
Advanced Topics in Algebra
article

PRIME GRAPHS OF COMMUTATIVE RINGS WITH STRONG COMMUTATIVITY PRESERVING MAPS

Imam Akeyede, M. A. Khan, N. B. SADA
article en

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 ????, ???? ∈ ????.

International Journal of Innovation Research and Advanced Studies
Ahmadu Bello University (NG), Federal College of Education, Kano (NG)
Openalex Percentile: Top 76%
Advanced Topics in Algebra
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