On The Right Perfect Ring

R.H. Sallam

On The Right Perfect Ring

R.H. Sallam * §

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Helwan University, Cairo, Egypt

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8K49A

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Abstract

We prove that a right self right perfect algebra which is at most countable dimensional modulo their Jacobson radical is right artinian.

References

5 Cites in Article

Reference Format

F Anderson,K Fuller (1991). Rings and Categories of Modules.
F Kasch (1982). Modules and Rings.
J Lawrence (1977). a countable self injective ring is quasi-frobenius.
M Iovanov (2011). semiprimary selfinjective algebras with at most countable dimensional Jacobson quotient are quasi frobenius.
T-Y Lam (1999). Lectures on Modules and Rings.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

R.H. Sallam. 2013. "On The Right Perfect Ring". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue F7).

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GJSFR Volume 13 Issue F7

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

quasi-frobenius rings right perfect rings self injective rings

Classification

GJSFR-F Classification MSC 2010: 16D50

Submission ReceivedJuly 14, 2013
Peer Review Double Blind
Handling Editor
Accepted August 12, 2013
Published August 27, 2013

Version of record

v1.2

Issue date

August 28, 2013

Language

English

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Article Matrices

Total Score: 145

Country: Egypt

Subject: Global Journal of Science Frontier Research

Authors: R.H. Sallam (PhD/Dr. count: 0)

View Count (all-time): 343

Total Views (Real + Logic): 1582

Total Downloads (simulated): 83

Publish Date: 2013 08, Tue

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Total Views: 1.6K

Total Downloads: 83

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