Far East Journal of Mathematical Education

The Far East Journal of Mathematical Education is a peer-reviewed journal focused on mathematical education. It publishes research papers that enhance understanding of mathematical concepts and encourages the use of technology, statistics, algorithms, and simulations in mathematics learning.

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SOLUTIONS OF EQUATIONS IN A UNITARY COMMUTATIVE RING

Authors

  • Fernando C. Marques
  • Dinamérico P. Pombo Jr.

Keywords:

Diophantine equations, unitary commutative rings

DOI:

https://doi.org/10.17654/0973563125015

Abstract

Two known results concerning rational solutions of Diophantine equations are extended to the context of a unitary commutative ring.

Received: August 11, 2025
Accepted: August 30, 2025

References

[1] G. Birkhoff and S. MacLane, A Survey of Modern Algebra, Eighth Printing, Macmillan, New York, 1971.

[2] A. Gérardin, L’Intermédiaire des Mathématiciens 24 (1917), 51.

[3] G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, Fifth ed., Oxford University Press, Oxford, 1979.

[4] F. C. Marques and D. P. Pombo Jr., Soluções Racionais de Certas Equações Diofantinas, Segunda edição revista, Textos de Matemática, Instituto de Matemática da UFRJ, 2023.

[5] P. Swinnerton-Dyer, A solution of J. London Math. Soc. 18 (1943), 2-4.

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Published

12-09-2025

Issue

Vol. 27 No. 2 (2025)

Section

Articles

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How to Cite

SOLUTIONS OF EQUATIONS IN A UNITARY COMMUTATIVE RING. (2025). Far East Journal of Mathematical Education, 27(2), 131-138. https://doi.org/10.17654/0973563125015

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