The endomorphism ring of the additive group of a ring

P. Schultz

doi:10.1017/S1446788700012763

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One of the still unsolved problems posed by Fuchs in his well-known book “Abelian Groups” [2] is Problem 45: characterize the rings R for which . I present here a partial solution.

References

[1]Beaumont, R. A. and Pierce, R. S., ‘Isomorphic Direct Summands of Abelian Groups’, Math. Annalen 153 (1964), 21–37.Google Scholar

[2]Fuchs, L., Abelian Groups (Hungarian Academy of Science, Budapest, 1958).Google Scholar

[3]Schultz, P., ‘Periodic Homomorphism Sequences of Abelian Groups’, Arch. Math. 21 (1970), 132–135.CrossRef Google Scholar

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