Multiplication-Like Modules

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AHMADI M.; Moghaderi J.

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2021 | Volume:13 | Issue:3 Page(s): 343-352

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Information Journal Paper

Title

Multiplication-Like Modules

Author(s)

AHMADI M. | Moghaderi J. | Issue Writer Certificate

Keywords

Modules;Free modules

Flat modules

Multiplication modules;Multiplication-like modules

Abstract

In this paper we introduce the concept of multiplication-like modules and we obtain some related results. We show that an R-module M is multiplication-like if and only if for each ideal I of R, I = (IM: R M). We prove that any multiplication-like module is faithful and r-multiplication. So we get that any at and multiplication-like module is faithfully at.

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APA: Copy

AHMADI, M., & Moghaderi, J.. (2021). Multiplication-Like Modules. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 13(3 ), 343-352. SID. https://sid.ir/paper/958082/en

Vancouver: Copy

AHMADI M., Moghaderi J.. Multiplication-Like Modules. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2021;13(3 ):343-352. Available from: https://sid.ir/paper/958082/en

IEEE: Copy

M. AHMADI, and J. Moghaderi, “Multiplication-Like Modules,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 13, no. 3 , pp. 343–352, 2021, [Online]. Available: https://sid.ir/paper/958082/en

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