Title of article
CLASSICAL QUASI-PRIMARY SUBMODULES
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
From page
51
To page
71
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
Journal title
Bulletin of the Iranian Mathematical Society
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2672287
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