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Cotorsion-free algebras as endomorphism algebras in $L$ - the discrete and topological cases

Rüdiger E. Göbel; Brendan Goldsmith — 1993

Commentationes Mathematicae Universitatis Carolinae

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 constructibility, $V = L$ . Many interesting results have been obtained for cotorsion-free algebras but the proofs involve rather elaborate calculations in linear algebra. Here these results are rederived in a more natural topological setting and substantial generalizations to topological...

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Cotorsion-free algebras as endomorphism algebras in L - the discrete and topological cases

Cotorsion-free algebras as endomorphism algebras in $L$ - the discrete and topological cases