Volume 2 • Issue 1 • PP: 34-38 • 2023
A Discussion of FGF Conjecture in Some Quasi-Frobenus Rings
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© 2023 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
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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.
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References
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Appl. 12, 1250059 [7 pages] DOI: 10.1142/S0219498812500594.
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