On the finitistic dimension conjecture. I: Related to representation-finite algebras. (Q1877767)

The finitistic dimension conjecture for Artin algebras asserts that the finitistic dimension of any such algebra is finite. In the paper under review, the author adds several new classes of algebras for which the conjecture is true. Those classes are obtained by applying certain constructions to representation-finite algebras. Among such constructions are: dual extensions, trivially twisted extensions, Hochschild extensions, matrix algebras, tensor products with algebras of radical-square zero, and others.