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Dualities between Almost Completely Decomposable Groups and their Endomorphism Rings

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We prove that endomorphism rings of nearly isomorphic, almost completely decomposable groups of ring type are also nearly isomorphic as additive structures. On this basis, acd groups can be considered in a dual connection with their endomorphism rings.

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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 13, Algebra, 2004.

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Blagoveshchenskaya, E.A. Dualities between Almost Completely Decomposable Groups and their Endomorphism Rings. J Math Sci 131, 5948–5961 (2005). https://doi.org/10.1007/s10958-005-0453-z

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  • DOI: https://doi.org/10.1007/s10958-005-0453-z

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