Rings with indecomposable modules local.
Rings with many idempotents.
Rings with the Minimum Condition for Principal Right Ideals Have the Maximum Condition for Principal Left Ideals.
Rings with zero intersection property on annihilators: Zip rings.
Zelmanowitz [12] introduced the concept of ring, which we call right zip rings, with the defining properties below, which are equivalent:(ZIP 1) If the right anihilator X⊥ of a subset X of R is zero, then X1⊥ = 0 for a finite subset X1 ⊆ X.(ZIP 2) If L is a left ideal and if L⊥ = 0, then L1⊥ = 0 for a finitely generated left ideal L1 ⊆ L.In [12], Zelmanowitz noted that any ring R satisfying the d.c.c. on anihilator right ideals (= dcc ⊥) is a right zip ring, and hence, so is any subring of R. He...
Rings without Nilpotent Elements
...-Ringstrukturen auf dem Burnsidering der Permutationsdarstellungen einer endlichen Gruppe.
Roots of Nakayama and Auslander-Reiten translations
We discuss the roots of the Nakayama and Auslander-Reiten translations in the derived category of coherent sheaves over a weighted projective line. As an application we derive some new results on the structure of selfinjective algebras of canonical type.
-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.
...-semiperfekte und ...-perfekte Moduln.
Semiprime ideals and irreducible ideals of -semirings.