A general form of non-Frobenius self-injective algebras
Applying the classical work of Nakayama [Ann. of Math. 40 (1939)], we exhibit a general form of non-Frobenius self-injective finite-dimensional algebras over a field.
Addendum to Zip rings.
We list some typos and minor correction that in no way affect the main results of Rings with zero intersection property on annihilators: Zip rings (Publicacions Matemàtiques 33, 2 (1989), pp. 329-338), e.g., nothing stated in the abstract is affected.
Addendum zu: Quasi-Frobenius-Algebren und lokal vollständige Durchschnitte:
Algebras stably equivalent to trivial extensions of hereditary algebras of type
The study of stable equivalences of finite-dimensional algebras over an algebraically closed field seems to be far from satisfactory results. The importance of problems concerning stable equivalences grew up when derived categories appeared in representation theory of finite-dimensional algebras [8]. The Tachikawa-Wakamatsu result [17] also reveals the importance of these problems in the study of tilting equivalent algebras (compare with [1]). In fact, the result says that if A and B are tilting...
Algebren, Darstellungsköcher, Ueberlagerungen und zurück.
An action-free characterization of weak Hopf-Galois extensions.
An approach to Hopf algebras via Frobenius coordinates.