-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
Tauvel's height formula in iterated differential operator rings.
Tensor products of higher almost split sequences in subcategories
We introduce the algebras satisfying the condition. If , are algebras satisfying the , condition, respectively, we give a construction of -almost split sequences in some subcategories of by tensor products and mapping cones. Moreover, we prove that the tensor product algebra satisfies the condition for some integers , ; this construction unifies and extends the work of A. Pasquali (2017), (2019).
Tensor products of near-ring modules. II.
Tentative de description immobilière de quelques représentations intégrales de groupes finis (avec l'aide de Guy Rousseau)
Ternary algebras and calculus of cubic matrices
We study associative ternary algebras and describe a general approach which allows us to construct various classes of ternary algebras. Applying this approach to a central bimodule with a covariant derivative we construct a ternary algebra whose ternary multiplication is closely related to the curvature of the covariant derivative. We also apply our approach to a bimodule over two associative (binary) algebras in order to construct a ternary algebra which we use to produce a large class of Lie algebras....
Ternary rings of Pappian planes
Ternary rings with zero associated to Desarguesian and Pappian planes