Tilting theory - an introduction
Tilting theory and quasitilted algebras.
Topological central extensions of SL1 (D).
Topological Hochschild cohomology and generalized Morita equivalence.
Topological linear compactness for Grothendieck categories. Theorem of Tychonoff. Applications to coalgebras.
We show the Tychonoff's theorem for a Grothendieck category with a set of small projective generators. Strictly quasi-finite objects for semiartinian Grothendieck categories are characterized. We apply these results to the study of the Morita duality of dual algebra of a coalgebra.
Topological Nearrings Whose Additive Groups are Euclidean.
Topological rings that generalize artinian rings.
Topologically semiperfect rings
Topologies linéaires et modules absolument purs
Top-stable and layer-stable degenerations and hom-order
Using geometrical methods, Huisgen-Zimmermann showed that if M is a module with simple top, then M has no proper degeneration such that for all t. Given a module M with square-free top and a projective cover P, she showed that if and only if M has no proper degeneration where M/M ≃ N/N. We prove here these results in a more general form, for hom-order instead of degeneration-order, and we prove them algebraically. The results of Huisgen-Zimmermann follow as consequences from our results....
Tor-invariance des algèbres de Lie résolubles et des algèbres filtrées
Torsion free types
Torsion in CH2 of Severi-Brauer varieties and indecomposability of generic algebras.
Torsion matrices over commutative integral group rings.
Let ZA be the integral group ring of a finite abelian group A, and n a positive integer greater than 5. We provide conditions on n and A under which every torsion matrix U, with identity augmentation, in GLn(ZA) is conjugate in GLn(QA) to a diagonal matrix with group elements on the diagonal. When A is infinite, we show that under similar conditions, U has a group trace and is stably conjugate to such a diagonal matrix.
Torsion modules behaving like torsion Abelian groups
Torsion units for some almost simple groups
We investigate the Zassenhaus conjecture regarding rational conjugacy of torsion units in integral group rings for certain automorphism groups of simple groups. Recently, many new restrictions on partial augmentations for torsion units of integral group rings have improved the effectiveness of the Luther-Passi method for verifying the Zassenhaus conjecture for certain groups. We prove that the Zassenhaus conjecture is true for the automorphism group of the simple group . Additionally we prove that...
Torsion units in group rings.
Let U(RG) be the unit group of the group ring RG. In this paper we study group rings RG whose support elements of every torsion unit are torsion, where R is either the ring of integers Z or a field K.
Torsion units in integral group rings.
Totally bounded endomorphisms on a topological ring
Totally indefinite Euclidean quaternion fields
We study the Euclidean property for totally indefinite quaternion fields. In particular, we establish a complete list of norm-Euclidean such fields over imaginary quadratic number fields. This enables us to exhibit an example which gives a negative answer to a question asked by Eichler. The proofs are both theoretical and algorithmic.