International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/300 2020 2020 Introduction to Neutrosophic Subtraction Algebra and Neutrosophic Subtraction Semigroup Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria M.A. Ibrahim, A.A.A. Agboola , E.O. Adeleke, S.A. Akinleye The objective of this paper is to introduce and study the notion of neutrosophic subtraction algebras and neutrosophic subtraction semigroups. It also introduces the notion of neutrosophic ideals of neutrosophic subtraction semigroup and presents some of their basic properties. In addition, the notion of neutrosophic homomorphism of neutrosophic subtraction semigroups and neutrosophic quotient subtraction semigroups was also introduced. 2020 2020 47 62 10.54216/IJNS.020101 https://www.americaspg.com/articleinfo/21/show/300