Properties of k-hybrid ideals in ternary semiring

Article type: Research Article

Authors: Muhiuddin, G.^{a; *} | Catherine Grace John, J.^b | Elavarasan, B.^b | Porselvi, K.^b | Al-Kadi, D.^{c; 1}

Affiliations: [a] Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk, Saudi Arabia | [b] Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, Tamilnadu, India | [c] Department of Mathematics and Statistic, College of Science, Taif University, Taif, Saudi Arabia

Correspondence: [*] Corresponding author. G. Muhiuddin, Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box-741, Tabuk-71491, Saudi Arabia. E-mail: [email protected].

Note: [1] Department of Mathematics and Statistic, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia.

Abstract:  The notions of hybrid ideals and k-hybrid ideals in a ternary semiring are introduced in this paper, and a substantial amount of effort has been made to study some of their features. In terms of characteristic function, we show some properties of k-hybrid ideals and give some characterizations of hybrid intersection with respect to these k-hybrid ideals. Finally, results based on a k-hybrid ideal’s homomorphic hybrid preimage are provided. With respect to k-hybrid ideals, we give certain characterizations of hybrid intersection.

Keywords: Semirings, Ternary semirings, k-hybrid ideals, Homomorphism, ψ-invariant

DOI: 10.3233/JIFS-212311

Journal: Journal of Intelligent & Fuzzy Systems, vol. 42, no. 6, pp. 5799-5807, 2022