Sozen, Esra Ozturk2025-03-232025-03-2320220350-1302https://doi.org/10.2298/PIM2226059Ohttps://hdl.handle.net/11486/4842A module M is called E9-delta 88-supplemented if every submodule X of M has a delta 88-supplement Y in M which is a direct summand of M such that X + Y = M and X n Y Soco(Y) where Soco(Y) is the sum of simple and delta-small submodules of Y and M = Y E9 Y ' for some Y ' M. Moreover, M is called a completely E9-delta 88-supplemented module if every direct summand of M is E9-delta 88-supplemented. Thus, we present two new types of algebraic structures which are stronger than delta-D11 and delta-D+11-modules, respectively. In this paper we investigate basic properties, decompositions and ring characterizations of these modules.eninfo:eu-repo/semantics/openAccessleft?88-perfect ring(completely) E9-?88-supplemented modulestrongly ?-local module?-D11-module?-D+11-moduleArticle112126596910.2298/PIM2226059O2-s2.0-85143769659Q4WOS:000892058600006N/A