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 ${rm dim}(R)leq 1$.
Behboodi, M., Jahani-Nezhad, R. & Naderi, M. H. (2011). Classical quasi-primary submodules. Bulletin of the Iranian Mathematical Society, 37(No. 4), 51-71.
MLA
Behboodi, M., Jahani-Nezhad, R., & Naderi, M. H. "Classical quasi-primary submodules", Bulletin of the Iranian Mathematical Society, 37, No. 4, 2011, 51-71.
HARVARD
Behboodi M., Jahani-Nezhad R., Naderi M. H. (2011). 'Classical quasi-primary submodules', Bulletin of the Iranian Mathematical Society, 37(No. 4), pp. 51-71.
CHICAGO
M. Behboodi, R. Jahani-Nezhad & M. H. Naderi, "Classical quasi-primary submodules," Bulletin of the Iranian Mathematical Society, 37 No. 4 (2011): 51-71,
VANCOUVER
Behboodi M., Jahani-Nezhad R., Naderi M. H. Classical quasi-primary submodules. BIMS. 2011;37(No. 4):51-71.
