On The Ring Structure Of Soft Set Theory

Abstract - Molodtsov in 1999 initiated the concept of soft set theory. Based on the work of Molodtsov Maji et al. in 2003 introduced some of the operations of soft sets and gave some of their basic properties. Ali et al. in 2009 further introduced more new operations on soft sets. The algebraic structures of soft sets were studied by Aktas and Cagman who introduced the notions of soft groups and their algebraic properties while Acar et al studied soft semi rings and their basic properties. In this paper we discuss the notions of soft rings soft sub rings soft ideal of a soft ring and idealistic soft rings and some of their algebraic properties with some illustrative examples.