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In this paper we introduce the notion of classical quasi?primary submodules that generalizes the concept of classical primary submodules. Then we investigate decomposition and minimal decomposition into classical quasi-primary submodules. In particular, existence and uniqueness of classical quasi-primary decompositions in finitely generated modules over Noetherian rings are proved. Moreover; we show that this decomposition and the decomposition into classical primary submodules are the same when $R$ is a domain with dim$(R)\leq 1$.
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