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AbstractThis paper is an examination of the dual of the fundamental isomorphism relating homomorphism groups involving direct sums and direct products over arbitrary index sets. We prove that for every cardinal μ, with μ ℵ0 = μ, there exists a non-slender self-slender self-small group of cardinality μ+.
CitationGobel, R.; Goldsmith, B. and Kolman, O. (2009) 'On modules which are self-slender', Houston Journal of Mathematics 35 (3) .
PublisherUniversity of Houston
JournalHouston Journal of Mathematics
SponsorsGerman-Israeli Foundation for Scientiﬁc Research & Development
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