In this paper we apply the cubic set theory to interior ideals of a semigroup. The notion of cubic interior ideals is introduced, and related properties are investigated. Characterizations of (cubic) interior ideals are established, and conditions for a semigroup to be left (right) simple are provided.
Cubic Interior Ideals in Semigroups,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 14,
1, Article 32.
Available at: https://digitalcommons.pvamu.edu/aam/vol14/iss1/32