Özen, Tahire2021-06-232021-06-2320151660-54461660-5454https://doi.org/10.1007/s00009-014-0404-3https://hdl.handle.net/20.500.12491/8349Let M be a left R-module, be a family of some submodules of M and be a family of some left R-modules. In this article, we introduce and characterize -coherent, , , M--injective (flat) and strongly -injective (flat) modules, which are generalizations of coherent, PS, FS, M-injective (flat) and strongly M-injective modules, respectively. We extend some known results to this general structure.eninfo:eu-repo/semantics/closedAccessM-InjectiveFlat and Coherent ModulesStrongly M-InjectiveFS and PS ModulesPrecoverPreenvelopeArticle10.1007/s00009-014-0404-31223013142-s2.0-84929953543Q2WOS:000355220600003Q3