Towards the Jantzen conjecture. III
Trace forms of central simple algebras.
Traces in strict Frobenius algebras and strict complete intersections.
Transfinite nilpotence defines a trivial radical
Transparent rings and their extensions.
Treating the exceptional cases of the MeatAxe.
Tree-like matrix rings
Trees, inverse systems, and valuated vector spaces
Treillis des idempotents centraux d'un anneau
Treillis d'idéaux et structure d'anneaux
Treue einfach zusammenhängende Algebren I.
Triangulated categories of periodic complexes and orbit categories
We investigate the triangulated hull of orbit categories of the perfect derived category and the bounded derived category of a ring concerning the power of the suspension functor. It turns out that the triangulated hull corresponds to the full subcategory of compact objects of certain triangulated categories of periodic complexes. This specializes to Stai and Zhao’s result on the finite dimensional algebra of finite global dimension. As the first application, if , are flat algebras over a commutative...
T-Rickart modules
We introduce the notions of T-Rickart and strongly T-Rickart modules. We provide several characterizations and investigate properties of each of these concepts. It is shown that R is right Σ-t-extending if and only if every R-module is T-Rickart. Also, every free R-module is T-Rickart if and only if , where R’ is a hereditary right R-module. Examples illustrating the results are presented.
Triples et exactitudes
Trisections of module categories
Let A be a finite-dimensional algebra over a field k. We discuss the existence of trisections (mod₊ A,mod₀ A,mod₋ A) of the category of finitely generated modules mod A satisfying exactness, standardness, separation and adjustment conditions. Many important classes of algebras admit trisections. We describe a construction of algebras admitting a trisection of their module categories and, in special cases, we describe the structure of the components of the Auslander-Reiten quiver lying in mod₀ A.
Trivial units in commutative group algebras.
Truncated microsupport and holomorphic solutions of D-modules
Tubular mutations
Twist quantization of string and Hopf algebraic symmetry.
Twisted (co)homologica stability for monoids of endomorphisms.