Abstract
In this paper we introduced Smarandache - 2 - algebraic structure of R-Module namely Smarandache - R-Module. A Smarandache - 2 - algebraic structure on a set N means a weak algebraic structure A 0 on N such that there exist a proper subset M of N, which is embedded with a stronger algebraic structu re A 1, stronger algebraic structure means satisfying more axioms, by proper subset one understands a subset different from the empty set, from the unit element if any, from t he whole set. We define Smarandache- R-Module and obtain some of its characterization th rough S-Algebra and BF Algebras. Keyword: R-Module, S-algebra, Smarandache - R-Module, BF-Algebras
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