Addition to Block's theorem and to Popov's theorem on differentially simple algebras

摘要

The paper gives examples of differentially simple algebrasover the field of complex numbers, which are not represented in theform specified in Block’s theorem. More precisely, examples of thesealgebras are finitely generated projective, but non-free, modules overtheir centroids. Recall, Popov’s theorem states, that a differentially simplealternative non-associative algebra over a field of characteristic zero is afinitely generated projective module over the center.