%0 Journal Article %T Classical quasi-primary submodules %J Bulletin of the Iranian Mathematical Society %I Iranian Mathematical Society (IMS) %Z 1017-060X %A Behboodi, M. %A Jahani-Nezhad, R. %A Naderi, M. H. %D 2011 %\ 12/15/2011 %V 37 %N No. 4 %P 51-71 %! Classical quasi-primary submodules %K Primary %K classical primary %K Classical quasi-primary %K decomposition %R %X 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 ${rm dim}(R)leq 1$. %U http://bims.iranjournals.ir/article_370_b3fcf4d4cb2b75243cdd0e2e211d16d4.pdf