Large superdecomposable E(R)-algebras

Laszlo Fuchs, and Rüdiger Göbel. "Large superdecomposable E(R)-algebras." Fundamenta Mathematicae 185.1 (2005): 71-82. <http://eudml.org/doc/283155>.

@article{LaszloFuchs2005,
abstract = {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.},
author = {Laszlo Fuchs, Rüdiger Göbel},
journal = {Fundamenta Mathematicae},
keywords = {-free; Black Box},
language = {eng},
number = {1},
pages = {71-82},
title = {Large superdecomposable E(R)-algebras},
url = {http://eudml.org/doc/283155},
volume = {185},
year = {2005},
}

TY - JOUR
AU - Laszlo Fuchs
AU - Rüdiger Göbel
TI - Large superdecomposable E(R)-algebras
JO - Fundamenta Mathematicae
PY - 2005
VL - 185
IS - 1
SP - 71
EP - 82
AB - 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.
LA - eng
KW - -free; Black Box
UR - http://eudml.org/doc/283155
ER -