aspg-21-300-1791468640 20261008141040 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2020 2 1 M.A. Ibrahim, A.A.A. Agboola , E.O. Adeleke, S.A. Akinleye Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria 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 47 62 300 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.020101 https://www.americaspg.com/journal/21/article/300 https://www.americaspg.com/storage/476.pdf