Some Soft Algebraic Structures

Authors : Fatih KOYUNCU, Bekir TANAY

Pages : 38-51

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Publication Date : 2016-04-27

Article Type : Research Paper

Abstract :Soft set theory was initiated by Molodtsov [9]. Then, Maji et al [8] defined some operations on soft sets. Akta¸s and C¸ aˇgman [2] defined soft groups and examined some related properties. Feng et al. [5] defined soft semirings. Acar et al. [1] defined soft rings and studied some of their properties In this study, we have defined soft fields and introduced some of their properties. Moreover, we have defined some kinds of ideals of soft rings and soft quotient rings.
Keywords : Soft sets, Soft rings, Soft fields, Soft ideals, Soft quotient rings