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Which rings are (isomorphic to) the endomorphisms ring of some abelian group? Is there any necessary and sufficient condition?

Sara.T
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    Related: https://math.stackexchange.com/questions/254056/does-every-ring-with-unity-arise-as-an-endomorphism-ring/254143 – Ali Caglayan Jun 14 '18 at 03:52
  • Also every ring is a subring of the endomorphism ring of its underlying abelian group. See: https://mathoverflow.net/questions/27971/why-is-there-no-cayleys-theorem-for-rings – Ali Caglayan Jun 14 '18 at 03:54

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