Abstract
This paper discusses Abelian groups (modules) isomorphic to their endomorphism groups (modules). A necessary and sufficient condition is given according to which the commutativity of the endomorphism ring of a group G follows from the isomorphism G ≅ End G.
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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 17, No. 2, pp. 97–106, 2011/12.
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Grishin, A.V., Tsarev, A.V. \( \mathcal{E} \)-closed groups and modules. J Math Sci 186, 592–598 (2012). https://doi.org/10.1007/s10958-012-1008-8
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DOI: https://doi.org/10.1007/s10958-012-1008-8