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The Near Endomorphism Ring of an Almost Completely Decomposable Group

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Abelian Groups and Modules

Part of the book series: Mathematics and Its Applications ((MAIA,volume 343))

Abstract

The major result of this paper is a description of the near-endomorphism ring of an almost completely decomposable (acd) group. Using this characterization, I present a new proof that an indecomposable acd group has no proper near-summands, and a characterization of the nil and Jacobson radicals of the near-endomorphism ring of an acd group.

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© 1995 Springer Science+Business Media Dordrecht

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Schultz, P. (1995). The Near Endomorphism Ring of an Almost Completely Decomposable Group. In: Facchini, A., Menini, C. (eds) Abelian Groups and Modules. Mathematics and Its Applications, vol 343. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0443-2_34

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  • DOI: https://doi.org/10.1007/978-94-011-0443-2_34

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4198-0

  • Online ISBN: 978-94-011-0443-2

  • eBook Packages: Springer Book Archive

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