Centrally splitting radicals
Characterizing rings by their modules
Classes of Modules.
Classification of 4-dimensional nilpotent complex Leibniz algebras.
Coefficient subrings of certain local rings with prime-power characteristic.
Cofinitely semiperfect modules.
Completions of Regular Rings.
Comultiplication modules over a pullback of Dedekind domains
First, we give complete description of the comultiplication modules over a Dedekind domain. Second, if is the pullback of two local Dedekind domains, then we classify all indecomposable comultiplication -modules and establish a connection between the comultiplication modules and the pure-injective modules over such domains.
Constructions and homological properties of simple von Neumann regular rings
Costable rings
Countably thick modules
The purpose of this paper is to further the study of countably thick modules via weak injectivity. Among others, for some classes of modules in we study when direct sums of modules from satisfies a property in . In particular, we get characterization of locally countably thick modules, a generalization of locally q.f.d. modules.
CS-modules and annihilator conditions.
Cyclic extensions and crossed-products