Elementary modules.
Erläuterungen zur Theorie der sogen. allgemeinen complexen Größen
Euclidean components for a class of self-injective algebras
We determine the length of composition series of projective modules of G-transitive algebras with an Auslander-Reiten component of Euclidean tree class. We thereby correct and generalize a result of Farnsteiner [Math. Nachr. 202 (1999)]. Furthermore we show that modules with certain length of composition series are periodic. We apply these results to G-transitive blocks of the universal enveloping algebras of restricted p-Lie algebras and prove that G-transitive principal blocks only allow components...
Exact Borel subalgebras of quasi-heriditary algebras, I (with an appendix by Leonard Scott).