Large indecomposable modules with many automorphisms

• Autores: László Fuchs
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 33, Nº 4, 2007, págs. 959-966
• Idioma: inglés
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• Resumen

  • Over integral domains R admitting fully rigid systems of modules with R as endomorphism rings, we construct indecomposable modules of cardinality ? whose automorphism groups are as large as possible: they have cardinality 2?. Here ? denotes any infinite cardinal with |R| = ?.

    We also show that over certain valuation domains there exist indecomposable divisible torsion modules of arbitrarily large cardinalities ? whose automorphism groups have cardinality 2?.