TY  - JOUR
TT  - AN APPROACH TO THE FAITH-MENAL CONJECTURE
AU  - Shen, Liang
PY  - 2007
DA  - June
JF  - International Electronic Journal of Algebra
JO  - IEJA
PB  - Abdullah HARMANCI
WT  - DergiPark
SN  - 1306-6048
SP  - 46
EP  - 50
VL  - 1
IS  - 1
KW  - Faith-Menal Conjecture
KW  - Quasi-Frobenius Rings
N2  - The Faith-Menal conjecture is one of the three main open conjectures on QF rings. It says that every right noetherian and left FP-injective ring is QF. In this paper, it is proved that the conjecture is true if every nonzero complement left ideal of the ring R is not small (or not singular). Several known results are then obtained as corollaries.
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CR  - Department of Mathematics, Southeast University Nanjing 210096, P.R. China e-mail: lshen@seu.edu.cn
UR  - https://dergipark.org.tr/en/pub/ieja/issue//266414
L1  - https://dergipark.org.tr/en/download/article-file/232937
ER  -