Projective modules over the endomorphism ring of a biuniform module.
This paper investigates infinitely generated projective modules over the endomorphism ring \(S\) of a biuniform module \(M\). The author proves that the following statements are equivalent: (1)~There exists an infinitely generated projective (right) \(S\)-module \(P\) such that \(P/\text{Jac}(P)\) is cyclic. (2) There exist \(f,g\in S\) such that \(f\) is epi not mono, \(g\) is mono not epi, and \(fg=0\). (3)~There exists a cyclic flat (right) \(S\)-module which is not projective.
scientific article; zbMATH DE number 2056255