Elementary modules.
Embeddings of Kronecker modules into the category of prinjective modules and the endomorphism ring problem
Endlichdimensionale graduierte Algebren und ihre Darstellungen
Endomorphism algebras of exceptional sequences over path algebras of type
Endomorphism representations of Zorn rings and subclasses of rings with enough idempotents.
Endomorphism rings of maximal rigid objects in cluster tubes
We describe the endomorphism rings of maximal rigid objects in the cluster categories of tubes. Moreover, we show that they are gentle and have Gorenstein dimension 1. We analyse their representation theory and prove that they are of finite type. Finally, we study the relationship between the module category and the cluster tube via the Hom-functor.
Endomorphism rings of regular modules over wild hereditary algebras
Let H be a connected wild hereditary path algebra. We prove that if Z is a quasi-simple regular brick, and [r]Z indecomposable regular of quasi-length r and with quasi-top Z, then .
Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup
Let be a finite group with a Sylow 2-subgroup which is either quaternion or semi-dihedral. Let be an algebraically closed field of characteristic 2. We prove the existence of exotic endotrivial -modules, whose restrictions to are isomorphic to the direct sum of the known exotic endotrivial -modules and some projective modules. This provides a description of the group of endotrivial -modules.
Épimorphismes de modules qui sont nécessairement des isomorphismes
Equipped graphs and modular lattices attached to them
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).
Exchange Rings and Decompositions of Modules.
Extended strings and admissible words
Extensionless modules over tame hereditary algebras
Extensions of hereditary algebras.
Extremal properties for concealed-canonical algebras
Canonical algebras, introduced by C. M. Ringel in 1984, play an important role in the representation theory of finite-dimensional algebras. They also feature in many other mathematical areas like function theory, 3-manifolds, singularity theory, commutative algebra, algebraic geometry and mathematical physics. We show that canonical algebras are characterized by a number of interesting extremal properties (among concealed-canonical algebras, that is, the endomorphism rings of tilting bundles on...