SMARANDACHE - R-MODULE AND CS-ALGEBRAS

摘要

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 structure 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 the whole set. We define Smarandache - R-Module and obtain some of its characterization through two classes of abstract algebras called Cl-algebras and CS-Algebras. For basic concept we refer to Raul Padilla[12].