On multiplicative bases in quasi-Frobenius algebras
A finite dimensional algebra R over an algebraically closed field K is called regular provided every indecomposable projective, left or right, R-module has only finitely many submodules. In this note one gives a simple and new proof of the fact that a wide class of regular quasi- Frobenius algebras, containing those of finite-representation type, has a multiplicative basis, that is, a basis B with \(B\cup\{0\}\) multiplicatively closed.
scientific article; zbMATH DE number 3875476
scientific article