MULTIPLICATION MODULES THAT ARE FINITELY GENERATED

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TOLOOEI YASER

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Journal Paper

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Journal: JOURNAL OF ALGEBRAIC SYSTEMS Year:2020 | Volume:8 | Issue:1 Page(s): 1-5

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Information Journal Paper

Title

MULTIPLICATION MODULES THAT ARE FINITELY GENERATED

Author(s)

TOLOOEI YASER | Issue Writer Certificate

Keywords

Multiplication module

Noetherian ring

faithful module

Abstract

Let R be a commutative ring with identity and M be a unitary R-module. An R-module M is called a Multiplication module if for every submodule N of M there exists an ideal I of R such that N=IM. It is shown that over a Noetherian domain R with dim(R)≤ 1, Multiplication modules are precisely cyclic or isomorphic to an invertible ideal of R. Moreover, we give a characterization of finitely generated Multiplication modules.

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APA: Copy

TOLOOEI, YASER. (2020). MULTIPLICATION MODULES THAT ARE FINITELY GENERATED. JOURNAL OF ALGEBRAIC SYSTEMS, 8(1 ), 1-5. SID. https://sid.ir/paper/380294/en

Vancouver: Copy

TOLOOEI YASER. MULTIPLICATION MODULES THAT ARE FINITELY GENERATED. JOURNAL OF ALGEBRAIC SYSTEMS[Internet]. 2020;8(1 ):1-5. Available from: https://sid.ir/paper/380294/en

IEEE: Copy

YASER TOLOOEI, “MULTIPLICATION MODULES THAT ARE FINITELY GENERATED,” JOURNAL OF ALGEBRAIC SYSTEMS, vol. 8, no. 1 , pp. 1–5, 2020, [Online]. Available: https://sid.ir/paper/380294/en

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