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The FGF conjecture and Quasi-Frobenus rings
Other Title(s)
و الحلقات شبه الفربنيوسية FGF التخمين
Author
Source
Damascus University Journal for the Basic Sciences
Issue
Vol. 33, Issue 1 (30 Jun. 2017), pp.13-22, 10 p.
Publisher
Publication Date
2017-06-30
Country of Publication
Syria
No. of Pages
10
Main Subjects
Abstract EN
A ring R is called right FGF ring, if every finitely generated right R-module embeds in a free right R-module.
It is well known that a quasi-Frobenus ring R is right FGF ring, but the converse is still an open question.
In this note we give some equivalent additional conditions that convert the right FGF ring to the QF ring.
Other known results that characterize the class of quasi-Frobenius rings are fond.
In the process, some new results that characterize the class of IF-rings are provided.
American Psychological Association (APA)
al-Shuhayyid, Riyad. 2017. The FGF conjecture and Quasi-Frobenus rings. Damascus University Journal for the Basic Sciences،Vol. 33, no. 1, pp.13-22.
https://search.emarefa.net/detail/BIM-873882
Modern Language Association (MLA)
al-Shuhayyid, Riyad. The FGF conjecture and Quasi-Frobenus rings. Damascus University Journal for the Basic Sciences Vol. 33, no. 1 (2017), pp.13-22.
https://search.emarefa.net/detail/BIM-873882
American Medical Association (AMA)
al-Shuhayyid, Riyad. The FGF conjecture and Quasi-Frobenus rings. Damascus University Journal for the Basic Sciences. 2017. Vol. 33, no. 1, pp.13-22.
https://search.emarefa.net/detail/BIM-873882
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 21-22
Record ID
BIM-873882