WHEN EVERY P-FLAT IDEAL IS FLAT

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.

CHENIOUR FATIMA; MAHDOU NAJIB

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

Journal Paper

Paper Information

Journal: Bulletin of the Iranian Mathematical Society Year:2014 | Volume:40 | Issue:3 Page(s): 677-688

Download Full-Text

View:

426

Download:

179

Cites:

Information Journal Paper

Title

WHEN EVERY P-FLAT IDEAL IS FLAT

Author(s)

CHENIOUR FATIMA | MAHDOU NAJIB | Issue Writer Certificate

Keywords

PFF-RINGS

P-FLAT MODULE

TRIVIAL EXTENSION

Abstract

In this paper, we study the class of rings in which every P-flat ideal is flat and which will be called PFF-RINGS. In particular, Von Neumann regular rings, hereditary rings, semi-hereditary ring, PID and arithmetical rings are examples of PFF-RINGS. In the context domain, this notion coincide with Prufer domain. We provide necessary and sufficient conditions for R=A µE to be a PFF-ring where A is a domain and E is a K-vector space, where K:=qf (A) or A is a local ring such that ME:=0. We give examples of non-fqp PFF-ring, of non-arithmetical PFF-ring, of non-semihereditary PFF-ring, of PFF-ring with wgldim>1 and of non-PFF Prufer-ring. Also, we investigate the stability of this property under localization and homomorphic image, and its transfer to finite direct products. Our results generate examples which enrich the current literature with new and original families of rings that satisfy this property.

Multimedia

No record.

Cites

No record.

References

No record.

Cite

APA: Copy

CHENIOUR, FATIMA, & MAHDOU, NAJIB. (2014). WHEN EVERY P-FLAT IDEAL IS FLAT. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 40(3), 677-688. SID. https://sid.ir/paper/650931/en

Vancouver: Copy

CHENIOUR FATIMA, MAHDOU NAJIB. WHEN EVERY P-FLAT IDEAL IS FLAT. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2014;40(3):677-688. Available from: https://sid.ir/paper/650931/en

IEEE: Copy

FATIMA CHENIOUR, and NAJIB MAHDOU, “WHEN EVERY P-FLAT IDEAL IS FLAT,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 40, no. 3, pp. 677–688, 2014, [Online]. Available: https://sid.ir/paper/650931/en

Related Journal Papers

No record.

Related Seminar Papers

No record.

Related Plans

No record.

Recommended Workshops