Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 10.54216/GJSMA https://www.americaspg.com/journals/show/3916 2022 2022 An Introduction to Symbolic Neutrosophic Algebras Department of mathematics, Idlib University, Idlib, Syria Nader Nader Department of mathematics, Idlib University, Idlib, Syria Mohammad Al Al-Shiekh 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 2025 36 43 10.54216/GJMSA.0120105 https://www.americaspg.com/articleinfo/33/show/3916