Literature on Faith's conjecture - Githubissues

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Data for the Database of Ring theory

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Literature on Faith's conjecture #99

Open dyunov opened 1 month ago

dyunov commented 1 month ago

Are left self-injective left or right perfect rings QF?

For left perfect two-sided self-injective rings this was proved by Osofsky. Some papers related to this topic (possibly with interesting results):

Baxter Johns, "Chain Conditions and Nil Ideals", 1981.
W. K. Nicholson, M. F. Yousif, "On Perfect Simple-Injective Rings", 1997.
W. K. Nicholson, M. F. Yousif, "On Quasi-Frobenius rings" (in Proc. III Korea-China-Japan International Symposium on Ring Theory 1999, eds. G.F.Birkenmeier, J.K.Park, Y.S.Park), p245.
C. Faith, D. van Huynh, "When self-injective rings are QF: a report on a problem", 2002.