STRONGLY DUO AND CO-MULTIPLICATION MODULES

Q: How can I download an article?

To download an article from SID, first log in to the site, search for the article title, and click on the 'Download Article' option.

Q: How can I download an ISI article?

To download an ISI article on SID, enter the keyword or article title in the search bar, view the relevant results, click on the desired article, and select the 'Download Article' option.

Q: How can I access the SID database?

To access the SID database, visit SID.ir, create an account, and log in to access scientific resources.

Q: Is downloading articles from SID free?

Some articles on SID are available for free, while others require payment. Details are specified on the article's page.

SAFAEEYAN S.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: JOURNAL OF ALGEBRAIC SYSTEMS Year:2016 | Volume:4 | Issue:1 Page(s): 53-64

Download Full-Text

Persian Verion

View:

562

Download:

236

Cites:

Information Journal Paper

Title

STRONGLY DUO AND CO-MULTIPLICATION MODULES

Author(s)

SAFAEEYAN S. | Issue Writer Certificate

Keywords

Strongly duo modules

Co-multiplication modules

Abelian groups

Abstract

Let R be a commutative ring. An R-module M is called co-multiplication, provided that for each submodule N of M, there exists an ideal I of R such that N = (0: M I). In this paper, we show that Co-multiplication modules are a generaliza-tion of Strongly duo modules. Uniserial modules of nite length, and hence, valuation Artinian rings are some distinguished classes of Co-multiplication modules. In addition, if R is a Noetherian quasi-injective ring, then R is strongly duo if and only if R is co-multiplication. We also show that J-semisimple strongly duo rings are precisely semisimple rings. Moreover, if R is a perfect ring, then uniserial R-modules are co-multiplication of nite length modules. Finally, we show that Abelian co-multiplication groups are all reduced, and co-multiplication Z-modules (Abelian groups) are characterized as well.

Cites

No record.

References

No record.

Cite

APA: Copy

SAFAEEYAN, S.. (2016). STRONGLY DUO AND CO-MULTIPLICATION MODULES. JOURNAL OF ALGEBRAIC SYSTEMS, 4(1 ), 53-64. SID. https://sid.ir/paper/268336/en

Vancouver: Copy

SAFAEEYAN S.. STRONGLY DUO AND CO-MULTIPLICATION MODULES. JOURNAL OF ALGEBRAIC SYSTEMS[Internet]. 2016;4(1 ):53-64. Available from: https://sid.ir/paper/268336/en

IEEE: Copy

S. SAFAEEYAN, “STRONGLY DUO AND CO-MULTIPLICATION MODULES,” JOURNAL OF ALGEBRAIC SYSTEMS, vol. 4, no. 1 , pp. 53–64, 2016, [Online]. Available: https://sid.ir/paper/268336/en

Related Journal Papers