An Introduction to Symbolic Neutrosophic Algebras

Nader Taffach^1,*, Mohammad Al-Shiekh¹

¹Department of mathematics, Idlib University, Idlib, Syria

Emails: nader_mahmoud_taffach@idlib.edu.sy; mohammad_al_sheikh@idlib.edu.sy

Abstract

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.

Keywords: Neutrosophic ring; Neutrosophic module; Neutrosophic algebra; Neutrosophic homomorphism