- International Electronic Journal of Algebra
- Vol: 1 Issue: 1
- AN APPROACH TO THE FAITH-MENAL CONJECTURE
AN APPROACH TO THE FAITH-MENAL CONJECTURE
Authors : Liang Shen
Pages : 46-50
View : 8 | Download : 6
Publication Date : 2007-06-01
Article Type : Other
Abstract :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.Keywords : Faith-Menal Conjecture, Quasi-Frobenius Rings