Semiprimary selfinjective algebras with at most countable dimensional Jacobson quotient are QF

Details Semiprimary selfinjective algebras with at most countable dimensional Jacobson quotient are QF Semiprimary selfinjective algebras with at most countable dimensional Jacobson quotient are QF

2011-11-12

arxiv.org/abs/1111.2901v1

Mathematics

Rings and Algebras

Scientific paper

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.

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