1 Ocak 2021 Dergi makalesi Açık Erişim

Calci, Tugce Pekacar; Ungor, Burcu; Harmanci, Abdullah

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{
  "@context": "https://schema.org/", 
  "@id": 232580, 
  "@type": "ScholarlyArticle", 
  "creator": [
    {
      "@type": "Person", 
      "affiliation": "Ankara Univ, Dept Math, Ankara, Turkey", 
      "name": "Calci, Tugce Pekacar"
    }, 
    {
      "@type": "Person", 
      "affiliation": "Ankara Univ, Dept Math, Ankara, Turkey", 
      "name": "Ungor, Burcu"
    }, 
    {
      "@type": "Person", 
      "affiliation": "Hacettepe Univ, Dept Math, Ankara, Turkey", 
      "name": "Harmanci, Abdullah"
    }
  ], 
  "datePublished": "2021-01-01", 
  "description": "Let R be a ring with identity, M be a right R-module and F be a fully invariant submodule of M. The concept of an F-inverse split module M has been investigated recently. In this paper, we approach to this concept with a different perspective, that is, we deal with a notion of an F-image split module M, and study various properties and obtain some characterizations of this kind of modules. By means of F-image split modules M, we focus on modules M in which fully invariant submodules F are dual Rickart direct summands. In this way, we contribute to the notion of a T-dual Rickart module M by considering (Z) over bar (2) (M) as the fully invariant submodule F of M. We also deal with a notion of relatively image splitness to investigate direct sums of image split modules. Some applications of image split modules to rings are given.", 
  "headline": "Module Decompositions by Images of Fully Invariant Submodules", 
  "identifier": 232580, 
  "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", 
  "license": "http://www.opendefinition.org/licenses/cc-by", 
  "name": "Module Decompositions by Images of Fully Invariant Submodules", 
  "url": "https://aperta.ulakbim.gov.tr/record/232580"
}