1 Ocak 2021 Dergi makalesi Açık Erişim

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

Citation Style Language JSON

{
  "DOI": "10.2298/FIL2111679P", 
  "abstract": "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.", 
  "author": [
    {
      "family": "Calci", 
      "given": " Tugce Pekacar"
    }, 
    {
      "family": "Ungor", 
      "given": " Burcu"
    }, 
    {
      "family": "Harmanci", 
      "given": " Abdullah"
    }
  ], 
  "container_title": "FILOMAT", 
  "id": "232580", 
  "issue": "11", 
  "issued": {
    "date-parts": [
      [
        2021, 
        1, 
        1
      ]
    ]
  }, 
  "page": "3679-3687", 
  "title": "Module Decompositions by Images of Fully Invariant Submodules", 
  "type": "article-journal", 
  "volume": "35"
}