On the number of maximal sincere modules over sincere directed algebras (Q915837)

Let B be a finite dimensional, basic, connected algebra over an algebraically closed field. Assume furthermore that B is sincere directed, that is B is a representation finite tilted algebra with a sincere module. In this paper the authoress proves that all but one sincere directed algebras which are tilted from hereditary of wild type admit only one maximal sincere B-module. She also gives optimal upper bounds for the number of maximal sincere B-modules for algebras B which are tilted from representation finite or tame algebras.