The variety of an indecomposable module is connected.
The Variety of Leibniz Algebras Defined by the Identity x(y(zt)) ≡ 0
2000 Mathematics Subject Classification: Primary: 17A32; Secondary: 16R10, 16P99, 17B01, 17B30, 20C30Let F be a field of characteristic zero. In this paper we study the variety of Leibniz algebras 3N determined by the identity x(y(zt)) ≡ 0. The algebras of this variety are left nilpotent of class not more than 3. We give a complete description of the vector space of multilinear identities in the language of representation theory of the symmetric group Sn and Young diagrams. We also show that the...
The Wells map for abelian extensions of 3-Lie algebras
The Wells map relates automorphisms with cohomology in the setting of extensions of groups and Lie algebras. We construct the Wells map for some abelian extensions of 3-Lie algebras to obtain obstruction classes in for a pair of automorphisms in to be inducible from an automorphism of . Application to free nilpotent 3-Lie algebras is discussed.
The Whitehead group of a polynomial extension
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
Théories de torsion et f-modules
Theory of hyperrings and hyperfields.
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...
Third Mac Lane cohomology via categorical rings.
Three-Dimensional Non-Commutative Algebras.
Tilting Bundles on Rational Surfaces and Quasi-Hereditary Algebras
Let be any rational surface. We construct a tilting bundle on . Moreover, we can choose in such way that its endomorphism algebra is quasi-hereditary. In particular, the bounded derived category of coherent sheaves on is equivalent to the bounded derived category of finitely generated modules over a finite dimensional quasi-hereditary algebra . The construction starts with a full exceptional sequence of line bundles on and uses universal extensions. If is any smooth projective variety...
Tilting Modules of Finite Projective Dimension.
Tilting sheaves in representation theory of algebras.
Tilting slice modules over minimal 2-fundamental algebras
A class of finite-dimensional algebras whose Auslander-Reiten quivers have starting but not generalized standard components is investigated. For these components the slices whose slice modules are tilting are considered. Moreover, the endomorphism algebras of tilting slice modules are characterized.
Tilting theory - an introduction
Tilting theory and quasitilted algebras.
Topological central extensions of SL1 (D).