An approach to Hopf algebras via Frobenius coordinates.
Applications of epigroups to graded ring theory.
Assoziative Tripelsysteme.
Automorphism liftable modules
We introduce the notion of an automorphism liftable module and give a characterization to it. We prove that category equivalence preserves automorphism liftable. Furthermore, we characterize semisimple rings, perfect rings, hereditary rings and quasi-Frobenius rings by properties of automorphism liftable modules. Also, we study automorphism liftable modules with summand sum property (SSP) and summand intersection property (SIP).
Character modules, submodules of a free module, and quasi-Frobenius rings.
Characterizations of semiperfect and perfect rings.
We characterize semiperfect modules, semiperfect rings, and perfect rings using locally projective covers and generalized locally projective covers, where locally projective modules were introduced by Zimmermann-Huisgen and generalized locally projective covers are adapted from Azumaya’s generalized projective covers.
Coefficient subrings of certain local rings with prime-power characteristic.
Cofinitely semiperfect modules.
Decomposition of Modules over Right Uniserial Rings.
Die absteigende Loewy-Länge von Endomorphismenringen.
Die Struktur von projektiven Moduln.
Differentially trivial Noetherian semiperfect rings.
Duality Theorem of Character Modules for Rings with Minimum Condition.
Épimorphismes plats à buts locaux, quasi-locaux et semi-locaux
Erratum to "On rings with a unique proper essential right ideal" (Fund. Math. 183 (2004), 229-244)
Exact sequences of pairs in commutative rings
Exchange Rings and Decompositions of Modules.
Fastgeordnete und geordnete lokale Ringe und ihre geometrische Anwendung
FP-injective and weakly quasi-Frobenius rings.
Frobenius n-group algebras
Frobenius algebras play an important role in the representation theory of finite groups. In the present work, we investigate the (quasi) Frobenius property of n-group algebras. Using the (quasi-) Frobenius property of ring, we can obtain some information about constructions of module category over this ring ([2], p. 66-67).