Geodesic
Large superdecomposable $E(R)$-algebras
Laszlo Fuchs 1   ; Rüdiger Göbel 2
1 Department of Mathematics Tulane University New Orleans, LA 70118, U.S.A.
2 Fachbereich 6, Mathematik Universität Duisburg Essen D-45117 Essen, Germany
Fundamenta Mathematicae, Tome 185 (2005) no. 1, pp. 71-82 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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For many domains $R$ (including all Dedekind domains of characteristic 0 that are not fields or complete discrete valuation domains) we construct arbitrarily large superdecomposable $R$-algebras $A$ that are at the same time $E(R)$-algebras. Here “superdecomposable” means that $A$ admits no (directly) indecomposable $R$-algebra summands $ \ne 0$ and “$E(R)$-algebra” refers to the property that every $R$-endomorphism of the $R$-module ,$A$ is multiplication by an element of ,$A$.
DOI : 10.4064/fm185-1-5
Mots-clés : many domains including dedekind domains characteristic fields complete discrete valuation domains construct arbitrarily large superdecomposable r algebras time algebras here superdecomposable means admits directly indecomposable r algebra summands algebra refers property every r endomorphism r module nbsp multiplication element nbsp

Laszlo Fuchs  1   ; Rüdiger Göbel  2

1 Department of Mathematics Tulane University New Orleans, LA 70118, U.S.A.
2 Fachbereich 6, Mathematik Universität Duisburg Essen D-45117 Essen, Germany 
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Laszlo Fuchs; Rüdiger Göbel. Large superdecomposable $E(R)$-algebras. Fundamenta Mathematicae, Tome 185 (2005) no. 1, pp. 71-82. doi: 10.4064/fm185-1-5

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