In continuation of our article in Colloq. Math. 116.1, we give a complete description of the symmetric algebras of strictly canonical type by quivers and relations, using Brauer quivers.
Over an artinian hereditary ring R, we discuss how the existence of almost split sequences starting at the indecomposable non-injective preprojective right R-modules is related to the existence of almost split sequences ending at the indecomposable non-projective preinjective left R-modules. This answers a question raised by Simson in [27] in connection with pure semisimple rings.
We investigate the category of finite length modules over the ring , where is a V-ring, i.e. a ring for which every simple module is injective, a subfield of its centre and an elementary -algebra. Each simple module gives rise to a quasiprogenerator . By a result of K. Fuller, induces a category equivalence from which we deduce that . As a consequence we can (1) construct for each elementary -algebra over a finite field a nonartinian noetherian ring such that , (2) find twisted...
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.
This article presents a brief survey of the work done on rings generated by their units.
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.