CLASSICAL QUASI-PRIMARY SUBMODULES

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BEHBOODI M.; JAHANI NEZHAD R.; NADERI M.H.

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ISSN: 2588-4824

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Paper Information

Journal: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY Year:2011 | Volume:37 | Issue:4 Page(s): 51-71

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Title

CLASSICAL QUASI-PRIMARY SUBMODULES

Author(s)

BEHBOODI M. | JAHANI NEZHAD R. | NADERI M.H. | Issue Writer Certificate

Keywords

PRIMARY

CLASSICAL PRIMARY

CLASSICAL QUASI-PRIMARY

DECOMPOSITION

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 Ris a domain with dim (R) £1.

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APA: Copy

BEHBOODI, M., JAHANI NEZHAD, R., & NADERI, M.H.. (2011). CLASSICAL QUASI-PRIMARY SUBMODULES. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 37(4), 51-71. SID. https://sid.ir/paper/579678/en

Vancouver: Copy

BEHBOODI M., JAHANI NEZHAD R., NADERI M.H.. CLASSICAL QUASI-PRIMARY SUBMODULES. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2011;37(4):51-71. Available from: https://sid.ir/paper/579678/en

IEEE: Copy

M. BEHBOODI, R. JAHANI NEZHAD, and M.H. NADERI, “CLASSICAL QUASI-PRIMARY SUBMODULES,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 37, no. 4, pp. 51–71, 2011, [Online]. Available: https://sid.ir/paper/579678/en

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