Abstract. Let G be an abelian group and G its square subgroup as defined in the introduction. We show that the square subgroup of a non-homogeneous and indecomposable torsion-free group
Let R be a commutative ring with identity, and M an Rmodule. We introduce square submodule, M , of M as a generalization of the square subgroup in the sense of [9] and investigate its properties over a commutative domain. Mathematics Subject Classification (2010). 13C99.
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