Large superdecomposable E(R)-algebras

• Autorzy: Laszlo Fuchs , Rüdiger Göbel
• Języki publikacji: EN

Abstrakty

EN

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 ≠ 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.

Kategorie tematyczne

• 13F99: None of the above, but in this section
• 13C13: Other special types
• 03E05: Other combinatorial set theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2005
• Tom: 185
• Numer: 1
• Strony: 71-82

Daty

wydano

2005

Twórcy

autor

Laszlo Fuchs

• Department of Mathematics, Tulane University, New Orleans, LA 70118, U.S.A.

autor

Rüdiger Göbel

• Fachbereich 6, Mathematik, Universität Duisburg Essen, D-45117 Essen, Germany

Identyfikatory

DOI

10.4064/fm185-1-5