Volume 27 , Issue 1 , PP: 10-18, 2026 | Cite this article as | XML | Html | PDF | Full Length Article
Dunia Alawi Jarwan 1 * , Amenah Hassan Ibrahim 2 , Majid Mohammed Abed 3
Doi: https://doi.org/10.54216/IJNS.270102
The most important applications of an algebra like BCK-Algebra. As a generalization of ring, we study γ- semi-ring and γ-ring in invarianent neutrosophic set. Neutrosophic concepts are widely used in the field of mathematics and other sciences, especially in studying the Algebra. In this paper, we present the concept of neutrosophic γ-BCK-Algebras as an example of this generalization. We also present neutrosophic sub-algebra, neutrosophic ideal and some other type structure algebraic. We proved that if f : AI → N I is a homomorphism of neutrosophic γ-BCK-algebras AI and NI, then f is injective if and only if neutrosophic ker(f ) = {0I}. Also, we presented, if NI be a normal neutrosophic subalgebra of neutrosophic γ-BCK- algebra AI, then ” ∼ N I ” is a congruence relation.
BCK -Algebra , Semi-ring , Neutrosophic logic , Neutrosophic Set , Simple submodule
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