Sur la classification des idéaux primitifs des algèbres enveloppantes
Sur les quotients premiers de l'algèbre enveloppante d'une algèbre de Lie résoluble, II
The almost isomorphism relation for simple regular rings.
A longstanding open problem in the theory of von Neumann regular rings is the question of whether every directly finite simple regular ring must be unit-regular. Recent work on this problem has been done by P. Menal, K. C. O'Meara, and the authors. To clarify some aspects of these new developments, we introduce and study the notion of almost isomorphism between finitely generated projective modules over a simple regular ring.
The converse of Schur's Lemma in group rings
In this paper, we study the structure of group rings by means of endomorphism rings of their modules. The main tools used here, are the subrings fixed by automorphisms and the converse of Schur's lemma. Some results are obtained on fixed subrings and on primary decomposition of group rings.
The Krull radical, k-primitive rings, and critical rings.
The periodicity conjecture for blocks of group algebras
We describe the representation-infinite blocks B of the group algebras KG of finite groups G over algebraically closed fields K for which all simple modules are periodic with respect to the action of the syzygy operators. In particular, we prove that all such blocks B are periodic algebras of period 4. This confirms the periodicity conjecture for blocks of group algebras.
The primitivity of semigroup algebras of free products.
The representation theory and the branching graph for the family of Turaev algebras .
The representation theory of the Temperley-Lieb algebras.
The Structure of *-simple Involution Rings with Minimal *-Biideals
The Yoneda algebras of serial QF-algebras.
Towards the Jantzen conjecture. III
Treating the exceptional cases of the MeatAxe.
Two examples of inverse semigroups algebras.
Über primitive Ideale in der Einhüllenden einer halbeinfachen Lie-Algebra
Varieties and sums of rings.
-generated uniserial modules over chain rings
The purpose of this paper is to provide a criterion of an occurrence of uncountably generated uniserial modules over chain rings. As we show it suffices to investigate two extreme cases, nearly simple chain rings, i.e. chain rings containing only three two-sided ideals, and chain rings with “many” two-sided ideals. We prove that there exists an -generated uniserial module over every non-artinian nearly simple chain ring and over chain rings containing an uncountable strictly increasing (resp. decreasing)...
Алгебраические автоморфизмы и PI-алгебры
Группы автоморфизмов и PI-алгебры
Квазирегулярность и примитивность относительно правых идеалов кольца