Yu. A. Drozd

Harish-Chandra S-homomorphism and\(\mathfrak{G}\)-modules generated by a semiprimitive element

AbstractWe define Harish-Chandra S-homomorphism which generalizes the classical Harish-Chandra homomorphism and study its properties. For

Indecomposable second-order matrix rings with a finite number of bass representations

\mathfrak{G}

Representations of completely decomposable rings

-modules

Lattices over Noetherian algebras

(\mathfrak{G} \ne E_7 ,E_8 )

Modules over hereditary orders

, generated by semiprimitive elements we prove the existence of composition sequences.

Generators and relations for wreath products

The following conditions are shown to be equivalent: 1) ring A is generalized uniserial (not necessarily artinian); 2) every finitely presented A module is semiserial; 3) A is semiperfect and the projective cover of every indecomposable finitely presented module is indecomposable.