The Rational Invariants of the Tame Quivers.
The relative dihedral homology of involutive algebras.
The representation dimension of domestic weakly symmetric algebras
Auslander’s representation dimension measures how far a finite dimensional algebra is away from being of finite representation type. In [1], M. Auslander proved that a finite dimensional algebra A is of finite representation type if and only if the representation dimension of A is at most 2. Recently, R. Rouquier proved that there are finite dimensional algebras of an arbitrarily large finite representation dimension. One of the exciting open problems is to show that all finite dimensional algebras...
The representation theory and the branching graph for the family of Turaev algebras .
The representation theory of the Temperley-Lieb algebras.
The ring of quotients of R(S).
The rings which are Boolean. II.
The Schur Subgroup of a Real Cyclotomic Field.
The spectrum of a Cartesian product of plural algebras
The standard form of a representation-finite algebra
The structure of Loewy modules.
The structure of Morita dual monoids.
The structure of primary modules
The Structure of *-simple Involution Rings with Minimal *-Biideals
The symplectic Gram-Schmidt theorem and fundamental geometries for -modules
Like the classical Gram-Schmidt theorem for symplectic vector spaces, the sheaf-theoretic version (in which the coefficient algebra sheaf is appropriately chosen) shows that symplectic -morphisms on free -modules of finite rank, defined on a topological space , induce canonical bases (Theorem 1.1), called symplectic bases. Moreover (Theorem 2.1), if is an -module (with respect to a -algebra sheaf without zero divisors) equipped with an orthosymmetric -morphism, we show, like in the classical...
The Yoneda algebras of serial QF-algebras.
The Ziegler spectrum of a tame hereditary algebra
Théorème de densité de Tchebotareff et monogénéité de modules sur l'algèbre d'un groupe métacyclique
There is no analog of the transpose map for infinite matrices.
In this note we show that there are no ring anti-isomorphism between row finite matrix rings. As a consequence we show that row finite and column finite matrix rings cannot be either isomorphic or Morita equivalent rings. We also show that antiisomorphisms between endomorphism rings of infinitely generated projective modules may exist.
Thick subcategories of the stable module category
We study the thick subcategories of the stable category of finitely generated modules for the principal block of the group algebra of a finite group G over a field of characteristic p. In case G is a p-group we obtain a complete classification of the thick subcategories. The same classification works whenever the nucleus of the cohomology variety is zero. In case the nucleus is nonzero, we describe some examples which lead us to believe that there are always infinitely many thick subcategories concentrated...