4 papers
DG-Semiprimary DG-Algebras, Acyclicity and Hopkins-Levitzki Theorem for DG-Algebras
Alexander Zimmermann
We study the analogue of the Hopkins-Levitzky Theorem for dg-algebras . We first consider the Hopkins approach. Here we show that for acyclic dg-algebras with graded-Artinia…
Differential graded division algebras, their modules, and dg-simple algebras
Alexander Zimmermann
We give the definition of a dg-division algebra, that is a concept of a differential graded algebra which may serve as an analogue of a division algebra. We classify them completel…
Ore Localisation for differential graded rings; Towards Goldie's theorem for differential graded algebras
Alexander Zimmermann
We study Ore localisation of differential graded algebras. Further we define dg-prime rings, dg-semiprime rings, and study the dg-nil radical of dg-rings. Then, we define dg-essent…
Differential graded orders, their class groups and idèles
Alexander Zimmermann
For a Dedekind domain with field of fractions a classical -order in a semisimple -algebra is an -projective -subalgebra of such that . We stud…