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International Journal Of Mathematics And Computer Research, vol.12, no.7, pp.4359-4362, 2024 (Peer-Reviewed Journal)
In this study, the |𝑆𝑆|− subgroup structure for |𝑆𝑆|− group obtained by using a given 𝑆semigroup is defined and its properties are examined. As in group theory, the relationships of the defined |𝑆𝑆|− subgroup structure with |𝑆𝑆|− group is investigated. Some well-knowntheorems in group theory have been adapted to the new subgroup structure and generalizations have been obtained. Additionally, their relationships with homomorphisms are examined and examples of the obtained results are given.