On two conjectures of Faith

Details On two conjectures of Faith On two conjectures of Faith

2011-10-11

arxiv.org/abs/1110.2284v1

Mathematics

Rings and Algebras

13p

Scientific paper

We prove that a profinite algebra whose left (right) cyclic modules are torsionless is finite dimensional and QF. We give a relative version of the notion of left (right) PF ring for pseudocompact algebras and prove it is left-right symmetric and dual to the notion of quasi-co-Frobenius coalgebras. We also prove two ring theoretic conjectures of Faith, in the setting (and supplementary hypothesis) of profinite algebras: any profinite semiartinian selfinjective algebra is finite dimensional and QF, and any FGF profinite algebra is finite dimensional QF.

Affiliated with

Also associated with

No associations

Rating

On two conjectures of Faith does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On two conjectures of Faith, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On two conjectures of Faith will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-471624