Eryilmaz, FigenSozen, Esra Ozturk2025-03-232025-03-2320231225-293X2288-6176https://doi.org/10.5831/HMJ.2023.45.1.146https://hdl.handle.net/11486/4495In this paper, we define circle plus delta-co-coatomically supplemented and co-coatomically 6-semiperfect modules as a strongly notion of circle plus-co-coatomically supplemented and co-coatomically semiperfect modules with the help of Zhou's radical. We say that a module A is circle plus delta-co-coatomically supplemented if each co-coatomic submodule of A has a 6-supplement in A which is a direct summand of A. And a module A is co-coatomically 6-semiperfect if each coatomic factor module of A has a projective 6-cover. Also we define co-coatomically amply 6-supplemented modules and we examined the basic properties of these modules. Further-more, we give a ring characterization for our modules. In particular, a ring R is 6-semiperfect if and only if each free R-module is co-coatomically 6-semiperfect.eninfo:eu-repo/semantics/closedAccessco-coatomic submodule??-co-coatomically supplemented mod-uleco-coatomically 6-perfect moduleArticle45114615910.5831/HMJ.2023.45.1.146N/AWOS:000975264000011N/A