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Modules having Baer summands

Calci, T. P.; Halicioglu, S.; Harmanci, A.


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{
  "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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