Author/Authors :
BEHBOODI, M. isfahan university of technology - Department of Mathematical Science, اصفهان, ايران , BEHBOODI, M. Institute for Research in Fundamental Sciences (IPM) - School of Mathematics, ايران , JAHANI-NEZHAD, R. university of kashan - Faculty of Science - Department of Mathematics, كاشان, ايران , NADERI, M. H. university of qom - Faculty of Science - Department of Mathematics, قم, ايران , NADERI, M. H. university of kashan - Faculty of Science - Department of Mathematics, كاشان, ايران
Abstract :
In this paper we introduce the notion of classical quasiprimary 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) ≤ 1.
Keywords :
Primary , classical primary , Classical quasi , primary , decomposition
