Symmetric special biserial algebras of euclidean type
We classify (up to Morita equivalence) all symmetric special biserial algebras of Euclidean type, by algebras arising from Brauer graphs.
Symmetric units and group identities in group algebras. I.
Symmetries in connected graded algebras and their PBW-deformations
We focus on connected graded algebras and their PBW-deformations endowed with additional symmetric structures. Many well-known algebras such as negative parts of Drinfeld-Jimbo’s quantum groups, cubic Artin-Schelter algebras and three-dimensional Sklyanin algebras appear in our research framework. As an application, we investigate a algebra which was introduced to compute the cohomology ring of the Fomin-Kirillov algebra , and explicitly construct all the (self-)symmetric and sign-(self-)symmetric...
Symmetrische Algebren mit endlich vielen unzerlegbaren Darstellungen. II.
Symmetrische Algebren mit injektivem Zentrum.
Symmetrische Algebren vom endlichen Modultyp.
Systèmes dynamiques contraints : l'approche homologique
On décrit une approche homologique des systèmes dynamiques contraints. Cette approche, directement inspirée des travaux de D. McMullan et de M. Henneaux concernant le formalisme de Batalin, Fradkin et Vilkovisky, contient une interprétation des fantômes et de leurs conjugués. Dans le cadre des systèmes dans l’espace des phases, la construction se fait en deux étapes. La première étape consiste à construire une algèbre différentielle graduée dont la cohomologie en degré zéro est l’espace des observables...
-radicals and -radicals in the category of modules.
TAG-modules with complement submodules -pure.
Tame algebras with strongly simply connected Galois coverings
Tame and Galois extensions with respect to Hopf orders.
Tame minimal non-polynomial growth simply connected algebras
Tame orders
Tame tensor products of algebras
With the help of Galois coverings, we describe the tame tensor products of basic, connected, nonsimple, finite-dimensional algebras A and B over an algebraically closed field K. In particular, the description of all tame group algebras AG of finite groups G over finite-dimensional algebras A is completed.
Tame three-partite subamalgams of tiled orders of polynomial growth
Assume that K is an algebraically closed field. Let D be a complete discrete valuation domain with a unique maximal ideal p and residue field D/p ≌ K. We also assume that D is an algebra over the field K . We study subamalgam D-suborders (1.2) of tiled D-orders Λ (1.1). A simple criterion for a tame lattice type subamalgam D-order to be of polynomial growth is given in Theorem 1.5. Tame lattice type subamalgam D-orders of non-polynomial growth are completely described in Theorem 6.2 and Corollary...
Tame triangular matrix algebras
We describe all finite-dimensional algebras A over an algebraically closed field for which the algebra of 2×2 upper triangular matrices over A is of tame representation type. Moreover, the algebras A for which is of polynomial growth (respectively, domestic, of finite representation type) are also characterized.
Tameness criterion for posets with zero-relations and three-partite subamalgams of tiled orders
A criterion for tame prinjective type for a class of posets with zero-relations is given in terms of the associated prinjective Tits quadratic form and a list of hypercritical posets. A consequence of this result is that if is a three-partite subamalgam of a tiled order then it is of tame lattice type if and only if the reduced Tits quadratic form associated with in [26] is weakly non-negative. The result generalizes a criterion for tameness of such orders given by Simson [28] and gives an...
Tame-wild dichotomy for Cohen-Macaulay modules.
Tate duality and ramification of division algebras
Tate resolutions for commutative graded algebras over a local ring