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Displaying similar documents to “Slender modules, endo-slender abelian groups and large cardinals”

Products of small modules

Peter Kálnai, Jan Žemlička (2014)

Commentationes Mathematicae Universitatis Carolinae

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Module is said to be small if it is not a union of strictly increasing infinite countable chain of submodules. We show that the class of all small modules over self-injective purely infinite ring is closed under direct products whenever there exists no strongly inaccessible cardinal.