-anneaux noethériens
-pure submodules.
-weakly regular group rings
In this note we obtain a necessary and sufficient condition for a ring to be -weakly regular (i) When is a ring with identity and without divisors of zero (ii) When is a ring without divisors of zero. Further it is proved in a -weakly regular ring with identity and without units every element is a zero divisor.
Self-equivalences of the derived category of Brauer tree algebras with exceptional vertex.
Selfinjective algebras of polynomial growth.
Selfinjective algebras of strictly canonical type
We develop the representation theory of selfinjective algebras of strictly canonical type and prove that their Auslander-Reiten quivers admit quasi-tubes maximally saturated by simple and projective modules.
Selfinjective algebras of wild canonical type
We develop the representation theory of selfinjective algebras which admit Galois coverings by the repetitive algebras of algebras whose derived category of bounded complexes of finite-dimensional modules is equivalent to the derived category of coherent sheaves on a weighted projective line with virtual genus greater than one.
Selfinjective and Simply Connected Algebras.
Self-injective Von Neumann regular subrings and a theorem of Pere Menal.
This paper owes its origins to Pere Menal and his work on Von Neumann Regular (= VNR) rings, especially his work listed in the bibliography on when the tensor product K = A ⊗K B of two algebras over a field k are right self-injective (= SI) or VNR. Pere showed that then A and B both enjoy the same property, SI or VNR, and furthermore that either A and B are algebraic algebras over k (see [M]). This is connected with a lemma in the proof of the Hilbert Nullstellensatz, namely a finite ring extension...
Semi-perfect and F-semi-perfect modules.
Semi-Perfect q-Rings.
Semiprime ideals and irreducible ideals of -semirings.
Semiprime ideals of skew polynomial rings.
Semiprime SF-rings whose essential left ideals are two-sided.
Semisimple completed group rings.
Separable functors in corings.
Separable K-linear categories
We define and investigate separable K-linear categories. We show that such a category C is locally finite and that every left C-module is projective. We apply our main results to characterize separable linear categories that are spanned by groupoids or delta categories.
Separable Moduln von Algebren über Ringen.
Shelah's Singular Compactness Theorem.
Simple injective modules.