November 2024 EVALUATING THE CONCEPT OF GAMMA RINGS
Shadi Shaqaqha, Areej Aloul, Ahmad Al-Rhayyel
Author Affiliations +
Missouri J. Math. Sci. 36(2): 225-239 (November 2024). DOI: 10.35834/2024/3602225

Abstract

One of the generalizations of the idea of rings is the idea of gamma rings. The current research reviews a number of established findings on the gamma rings. Many new examples are given to illustrate this structure. We specifically demonstrate the existence of isomorphism theorems for gamma rings. Finally, the gamma ring example is included in the well-known prime avoidance theorem for commutative rings.

Dedication

Dedicated to Directorate of Education for Al Mazar Al Shamali-Irbid-Jordan.

Acknowledgement

The authors are grateful to the referee for his careful reading and valuable suggestions, which improved the paper’s presentation.

Citation

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Shadi Shaqaqha. Areej Aloul. Ahmad Al-Rhayyel. "EVALUATING THE CONCEPT OF GAMMA RINGS." Missouri J. Math. Sci. 36 (2) 225 - 239, November 2024. https://doi.org/10.35834/2024/3602225

Information

Published: November 2024
First available in Project Euclid: 27 November 2024

Digital Object Identifier: 10.35834/2024/3602225

Subjects:
Primary: 16A21 , 16A48 , 16Y99

Keywords: (Γ-)prime avoidance theorem of gamma rings , Γ-division ring, isomorphism theorems of gamma rings , Γ-ideals in gamma rings , Γ-Ring

Rights: Copyright © 2024 University of Central Missouri, School of Computer Science and Mathematics

Vol.36 • No. 2 • November 2024
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