An investigation of soft radicals

Article type: Research Article

Authors: Aygün, Emin | Erdal, Betül^*;

Affiliations: Department of Mathematics, Erciyes University, Kayseri, Turkey

Correspondence: [*] Corresponding author. Betül Erdal, Department of Mathematics, Erciyes University, Kayseri 38039, Turkey. E-mail: b-rdal@hotmail.com.

Abstract: Two important methods are used to transfer algebraic substructures to soft set theory. In the first method, the soft substructure of an algebraic structure is obtained, while in the second method a soft substructure of a soft algebraic structure is obtained. In this paper, we transfer the radical structure of an ideal to a soft set theory in a commutative ring and a semigroup by considering both methods.

Keywords: Radical, nil radical, soft radical, soft ideal

DOI: 10.3233/JIFS-200117

Journal: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 1, pp. 1341-1346, 2020