NONNIL-NOETHERIAN MODULES OVER COMMUTATIVE RINGS

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YOUSEFIAN DARANI a.

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Journal Paper

Paper Information

Journal: JOURNAL OF ALGEBRAIC SYSTEMS Year:2016 | Volume:3 | Issue:2 Page(s): 201-210

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Information Journal Paper

Title

NONNIL-NOETHERIAN MODULES OVER COMMUTATIVE RINGS

Author(s)

YOUSEFIAN DARANI a. | Issue Writer Certificate

Keywords

Noetherian rings

Noetherian modules

Finitely-generated submodules

Di-vided submodules

Phi-modules

Abstract

In this paper, we introduce a new class of modules that is closely related to the class of Noetherian modules. Let R be a commutative ring with identity, and M be an R-module such that Nil(M) is a divided prime submodule of M. M is called a nonnil-Noetherian R-module if every nonnil submodule of M is nitely-generated. We prove that many properties of the Noether-ian modules are also true for the nonnil-Noetherian modules.

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APA: Copy

YOUSEFIAN DARANI, a.. (2016). NONNIL-NOETHERIAN MODULES OVER COMMUTATIVE RINGS. JOURNAL OF ALGEBRAIC SYSTEMS, 3(2 ), 201-210. SID. https://sid.ir/paper/268370/en

Vancouver: Copy

YOUSEFIAN DARANI a.. NONNIL-NOETHERIAN MODULES OVER COMMUTATIVE RINGS. JOURNAL OF ALGEBRAIC SYSTEMS[Internet]. 2016;3(2 ):201-210. Available from: https://sid.ir/paper/268370/en

IEEE: Copy

a. YOUSEFIAN DARANI, “NONNIL-NOETHERIAN MODULES OVER COMMUTATIVE RINGS,” JOURNAL OF ALGEBRAIC SYSTEMS, vol. 3, no. 2 , pp. 201–210, 2016, [Online]. Available: https://sid.ir/paper/268370/en

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