KOÇ, SUAT2023-04-172023-04-172022-01-01Yıldız E., Tekir Ü., Koç S., "On S-comultiplication modules", Turkish Journal Of Mathematics, cilt.46, ss.1-13, 20221300-0098https://journals.tubitak.gov.tr/math/inpress.htmhttps://journals.tubitak.gov.tr/math/vol46/iss5/30/https://hdl.handle.net/11424/288739Let R be a commutative ring with 1 ̸= 0 and M be an R-module. Suppose that S ⊆ R is a multiplicatively closed set of R. Recently Sevim et al. in [19] introduced the notion of an S -prime submodule which is a generalization of a prime submodule and used them to characterize certain classes of rings/modules such as prime submodules, simple modules, torsion free modules, S -Noetherian modules and etc. Afterwards, in [2], Anderson et al. defined the concepts of S -multiplication modules and S -cyclic modules which are S -versions of multiplication and cyclic modules and extended many results on multiplication and cyclic modules to S -multiplication and S -cyclic modules. Here, in this article, we introduce and study S -comultiplication modules which are the dual notion of S -multiplication module. We also characterize certain classes of rings/modules such as comultiplication modules, S -second submodules, S -prime ideals and S -cyclic modules in terms of S -comultiplication modules. Moreover, we prove S -version of the dual Nakayama’s Lemma.enginfo:eu-repo/semantics/openAccessMatematikDeğişmeli Halkalar ve CebirlerTemel BilimlerMathematicsCommutative Rings and AlgebrasNatural SciencesTemel Bilimler (SCI)Doğa Bilimleri GenelÇOK DİSİPLİNLİ BİLİMLERMATEMATİKNatural Sciences (SCI)NATURAL SCIENCES, GENERALMATHEMATICSMULTIDISCIPLINARY SCIENCESMultidisciplinaryDiscrete Mathematics and CombinatoricsGeometry and TopologyLogicPhysical Sciencesarticle465113