Refail AlizadeS. Güngӧr2025-10-06201715739376, 004159950041-59951573-937610.1007/s11253-017-1411-xhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85035340212&doi=10.1007%2Fs11253-017-1411-x&partnerID=40&md5=52996a7c86ce3ce7ef0d1ab0c49e9b96https://gcris.yasar.edu.tr/handle/123456789/9638It is shown that if a submodule N of M is co-coatomically supplemented and M/N has no maximal submodule then M is a co-coatomically supplemented module. If a module M is co-coatomically supplemented then every finitely M-generated module is a co-coatomically supplemented module. Every left R-module is co-coatomically supplemented if and only if the ring R is left perfect. Over a discrete valuation ring a module M is co-coatomically supplemented if and only if the basic submodule of M is coatomic. Over a nonlocal Dedekind domain if the torsion part T(M) of a reduced module M has a weak supplement in M then M is co-coatomically supplemented if and only if M/T (M) is divisible and T<inf>P</inf> (M) is bounded for each maximal ideal P. Over a nonlocal Dedekind domain if a reduced module M is co-coatomically amply supplemented then M/T (M) is divisible and T<inf>P</inf> (M) is bounded for each maximal ideal P. Conversely if M/T (M) is divisible and T<inf>P</inf> (M) is bounded for each maximal ideal P then M is a co-coatomically supplemented module. © 2017 Elsevier B.V. All rights reserved.EnglishArticle