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On k-Products Modulo μ-Products

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Abelian Group Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1006))

Abstract

1. For a set I and a family (Ai)i∈i of abelian groups consider the cartesian product \( \mathop \pi \limits_{i \in I} {A_i}, \) which is in a natural way an abelian group iEI again. The support of an element x of \( \mathop \pi \limits_{i \in I} {A_i}, \)is defined by supp(x) {=i ∈ I: x(i) ≠ 0}.

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References

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Authors
  1. Burkhard Wald
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Editors and Affiliations

  1. FB 6 — Mathematik, Universität Essen, Gesamthochschule, Universitätsstr. 3, 4300, Essen 1, Federal Republic of Germany

    Rüdiger Göbel

  2. Department of Mathematics, University of Hawaii, 2565 The Mall, 96822, Honolulu, Hawai, USA

    Lee Lady  & Adolf Mader  & 

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© 1983 Springer-Verlag Berlin Heidelberg

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Wald, B. (1983). On k-Products Modulo μ-Products. In: Göbel, R., Lady, L., Mader, A. (eds) Abelian Group Theory. Lecture Notes in Mathematics, vol 1006. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21560-9_20

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  • DOI: https://doi.org/10.1007/978-3-662-21560-9_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12335-4

  • Online ISBN: 978-3-662-21560-9

  • eBook Packages: Springer Book Archive

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