aspg-33-3916-1792223300 20261017074820 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 2025 12 1 Nader Taffach Department of mathematics, Idlib University, Idlib, Syria Mohammad Al-Shiekh Department of mathematics, Idlib University, Idlib, Syria The objective of this paper is to study for the first time the concept of symbolic neutrosophic algebra defined over a neutrosophic ring R(I), where we derive a strict definition of this concept as an expansion of neutrosophic modules. In addition, we study some of its elementary properties such as neutrosophic subalgebras, neutrosophic homomorphisms and kernels through many theorems and mathematical proofs. 2025 36 43 3916 https://creativecommons.org/licenses/by/4.0/ 10.54216/GJMSA.0120105 https://americaspg.com/journal/33/article/3916 https://americaspg.com/storage/41751897081.pdf