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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 DECOMPOSITION s 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 Ris a domain with dim (R)£ 1.