Semiprimary selfinjective algebras with at most countable dimensional Jacobson quotient are QF
Rings and Algebras
2011-11-15 v1
Abstract
We give a positive answer to a conjecture of Faith stating that a self-injective semiprimary ring is QF, for algebras which are at most countable dimensional modulo their Jacobson radical. As a consequence of the method used, we also give short proofs of several other known positive cases of this conjecture.
Cite
@article{arxiv.1111.2901,
title = {Semiprimary selfinjective algebras with at most countable dimensional Jacobson quotient are QF},
author = {Miodrag C. Iovanov},
journal= {arXiv preprint arXiv:1111.2901},
year = {2011}
}