• On modules which are self-slender

      Gobel, Rüdiger; Goldsmith, Brendan; Kolman, Oren; Universitat Duisberg Essen; Dublin Institute of Technology; Universite de Caen (University of Houston, 2009)
      This 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+.