Dergi makalesi Açık Erişim
Calci, T. P.; Halicioglu, S.; Harmanci, A.
{ "DOI": "10.1080/00927872.2016.1273360", "abstract": "Let R be an arbitrary ring with identity and M a right R-module with S= End(R)(M). Let F be a fully invariant submodule of M and I-1(F) denotes the set {m is an element of M : Im subset of F} for any subset I of S. The module M is called F-Baer if I-1(F) is a direct summand of M for every left ideal I of S. This work is devoted to the investigation of properties of F-Baer modules. We use F-Baer modules to decompose a module into two parts consists of a Baer module and a module determined by fully invariant submodule F, namely, for a module M, we show that M is F-Baer if and only if M = F circle plus N where N is a Baer module. By using F-Baer modules, we obtain some new results for Baer rings.", "author": [ { "family": "Calci", "given": " T. P." }, { "family": "Halicioglu", "given": " S." }, { "family": "Harmanci", "given": " A." } ], "container_title": "COMMUNICATIONS IN ALGEBRA", "id": "47145", "issue": "11", "issued": { "date-parts": [ [ 2017, 1, 1 ] ] }, "page": "4610-4621", "title": "Modules having Baer summands", "type": "article-journal", "volume": "45" }
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