%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