The study sought to establish some algebraic properties of the Chinese Remainder Theorem. The Chinese Remainder Theorem is an ancient but important mathematical theorem that enables one to solve simultaneous equations with respect to different modulo and makes it possible to reconstruct integers in a certain range from their residues modulo to the pairwise relatively prime modulo and also construct libraries for manipulations on very large integers. The study seeks to find out some real life applications of the Chinese Remainder Theorem in our everyday life activities especially in trading and in information security and retrieval avoiding any leakages to invaders or intruders. The study presented proofs of some theorems vital in the real life applications of the Chinese Remainder Theorem. In the study, we identified that in the statement of the Principal Ideal Domain and that of Rings can be classified as some algebraic properties of the Chinese Remainder Theorem.
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How to cite this paper
On Some Algebraic Properties of the Chinese Remainder Theorem with Applications to Real Life
How to cite this paper: Elvis Adam Alhassan, Kaiyu Tian, Olivier Joseph Abban, Israel Enema Ohiemi, Michael Adjabui, Gabriel Armah, Simon Agyemang. (2021) On Some Algebraic Properties of the Chinese Remainder Theorem with Applications to Real Life. Journal of Applied Mathematics and Computation, 5(3), 219-224.