Soft ideals of soft ternary semigroups. Issue 6 (June 2021)

• Record Type: Journal Article
• Authors: Kar, S.; Dutta, I.
• Is Part Of: Heliyon. Volume 7:Issue 6(2021)
• Publication Date: 2021-06
• Subjects: Soft ternary semigroup -- Soft prime ideal -- Soft semiprime ideal -- Soft irreducible ideal -- Soft bi-ideal -- Soft prime bi-ideal -- Soft semiprime bi-ideal -- Soft completely regular ternary semigroup; Research -- Periodicals; Medical sciences -- Periodicals; Natural history -- Periodicals; Social sciences -- Periodicals; Earth sciences -- Periodicals; Physical sciences -- Periodicals; 507.2
• DOI: 10.1016/j.heliyon.2021.e07330
• Languages: English
• ISSNs: 2405-8440

Abstract

Abstract: In this paper, we introduce the notions of certain classes of soft ideals in soft ternary semigroups and study some inter-relations between different types of soft ideals in a soft ternary semigroup. We also characterize completely regular soft ternary semigroups with the help of these soft ideals of soft ternary semigroups. Abstract : Soft ternary semigroup; Soft prime ideal; Soft semiprime ideal; Soft irreducible ideal; Soft bi-ideal; Soft prime bi-ideal; Soft semiprime bi-ideal; Soft completely regular ternary semigroup