Displaying similar documents to “On the fragmental structures.”

ω 1 -generated uniserial modules over chain rings

Jan Žemlička (2004)

Commentationes Mathematicae Universitatis Carolinae

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The purpose of this paper is to provide a criterion of an occurrence of uncountably generated uniserial modules over chain rings. As we show it suffices to investigate two extreme cases, nearly simple chain rings, i.e. chain rings containing only three two-sided ideals, and chain rings with “many” two-sided ideals. We prove that there exists an ω 1 -generated uniserial module over every non-artinian nearly simple chain ring and over chain rings containing an uncountable strictly increasing...

Modules commuting (via Hom) with some colimits

Robert El Bashir, Tomáš Kepka, Petr Němec (2003)

Czechoslovak Mathematical Journal

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For every module M we have a natural monomorphism Ψ : ∐ i ∈ I H o m R ( M , A i ) → H o m R M , ∐ i ∈ I A i and we focus our attention on the case when Ψ is also an epimorphism. Some other colimits are also considered.