summary:The discrete algebras $A$ over a commutative ring $R$ which can be realized as the full endomorphism algebra of a torsion-free $R$-module have been investigated by Dugas and Göbel under the additional set-theoretic axiom of constructi\-bi\-li\-ty, $V=L$. Many interesting results have been obtained for cotorsion-free algebras but the proofs involve rather elaborate calculations in linear algebra. Here these results are re\-derived in a more natural topological setting and substantial generalizations to topological algebras (which could not be handled in the previous linear algebra approach) are obtained. The results obtained are independent of the usual Zermelo-Fraenkel set theory ZFC
This thesis deals with two topics. In Part I it is shown that if ZFC is consistent, then so is ZF...
AbstractWe study the categories of discrete modules for topological rings arising as the rings of op...
The primary objective of this dissertation is to study isomorphism theorems (or isomorphism problems...
summary:The discrete algebras $A$ over a commutative ring $R$ which can be realized as the full endo...
AbstractModules over a discrete valuation domain are considered. We investigate the extent to which ...
The endomorphism algebras of modules of large cardinalities have been extensively studied in recent ...
summary:We extend a result of Rangaswamy about regularity of endomorphism rings of Abelian groups to...
For a natural number k > 1 and a ring A with free additive structure, we realize two different const...
summary:We study the validity of two basic results of the classical theory of topological vector spa...
Let $R$ be a commutative Noetherian local ring. We study tensor products involving a finitely genera...
Apseudobasis for an abstract algebraA is a subsetX ofA such that every mappingX intoA extends unique...
The project was devoted to gain new results on module theory and related areas by using combinatoria...
Extending the Wedderburn-Artin theory of (classically) semisimple associative rings to the realm of ...
AbstractLet G be a finite rank torsion-free module over a discrete valuation ring V. A splitting fie...
AbstractThe Authors study the ideal I(u) formed by the polynomial relations satisfied by an endomorp...
This thesis deals with two topics. In Part I it is shown that if ZFC is consistent, then so is ZF...
AbstractWe study the categories of discrete modules for topological rings arising as the rings of op...
The primary objective of this dissertation is to study isomorphism theorems (or isomorphism problems...
summary:The discrete algebras $A$ over a commutative ring $R$ which can be realized as the full endo...
AbstractModules over a discrete valuation domain are considered. We investigate the extent to which ...
The endomorphism algebras of modules of large cardinalities have been extensively studied in recent ...
summary:We extend a result of Rangaswamy about regularity of endomorphism rings of Abelian groups to...
For a natural number k > 1 and a ring A with free additive structure, we realize two different const...
summary:We study the validity of two basic results of the classical theory of topological vector spa...
Let $R$ be a commutative Noetherian local ring. We study tensor products involving a finitely genera...
Apseudobasis for an abstract algebraA is a subsetX ofA such that every mappingX intoA extends unique...
The project was devoted to gain new results on module theory and related areas by using combinatoria...
Extending the Wedderburn-Artin theory of (classically) semisimple associative rings to the realm of ...
AbstractLet G be a finite rank torsion-free module over a discrete valuation ring V. A splitting fie...
AbstractThe Authors study the ideal I(u) formed by the polynomial relations satisfied by an endomorp...
This thesis deals with two topics. In Part I it is shown that if ZFC is consistent, then so is ZF...
AbstractWe study the categories of discrete modules for topological rings arising as the rings of op...
The primary objective of this dissertation is to study isomorphism theorems (or isomorphism problems...