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Article type: Research Article
Authors: Catherine Grace John, J.; * | Deepika, M. | Elavarasan, B.
Affiliations: Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, Tamilnadu, India
Correspondence: [*] Corresponding author. J. Catherine Grace John, Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore - 641114, Tamilnadu, India. E-mail: catherinegracejohn@gmail.com.
Abstract: This article explores the concept of hybrid interior ideals and the hybrid characteristic interior ideals of a ternary semigroup. We establish some equivalent requirements for a hybrid structure to be a hybrid interior ideal of a ternary semigroup. Also, we show that for a regular semigroup and an intra-regular semigroup, hybrid interior ideals and hybrid ideals coincide. Furthermore, the notion of a hybrid bi-ideal of a ternary semigroup is introduced, and some of its key characteristics are explored.
Keywords: Ternary semigroup, ideals, regular, hybrid interior ideal, hybrid bi-ideal
DOI: 10.3233/JIFS-232591
Journal: Journal of Intelligent & Fuzzy Systems, vol. 45, no. 6, pp. 10865-10872, 2023
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