Abstract
Let R be a commutative ring with an identity, and G be a unitary R-module. We say that an R-module G is small semiprime if (0 G ) is small Semiprime submodule of G. Equivalently, an R-module G is small semiprime iff ann ρ= vÄP for each proper small submodule ρ of G. We have given and demonstrated some of the characterizations and features of these types of modules in this paper.
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