Large superdecomposable -algebras
Tom 185 / 2005
Fundamenta Mathematicae 185 (2005), 71-82
MSC: Primary 13F99, 13C13; Secondary 03E05.
DOI: 10.4064/fm185-1-5
Streszczenie
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.
