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Large superdecomposable E(R)-algebras

100%

Fuchs L., Göbel R.

Fundamenta Mathematicae

2005

tom 185

nr 1

71-82

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.

Note on the transitivity of pure essential extensions

81%

Fuchs L., Salce L., Zanardo P.

Colloquium Mathematicum

1998

tom 78

nr 2

283-291

Ograniczanie wyników

1 Colloquium Mathematicum

1 Fundamenta Mathematicae

2 Fuchs L.

1 Göbel R.

1 Salce L.

1 Zanardo P.

1 2005

1 1998

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Large superdecomposable E(R)-algebras

Note on the transitivity of pure essential extensions