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SA-SUPPLEMENT SUBMODULES

Durgan, Yilmaz


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{
  "DOI": "10.4134/BKMS.b200128", 
  "abstract": "In this paper, we introduced and studied sa-supplement submodules. A submodule U of a module V is called an sa-supplement submodule in V if there exists a submodule T of V such that V = T +U and U boolean AND T is semiartinian. The class of sa-supplement sequences SAS is a proper class which is generated by socle-free modules injectively. We studied modules that have an sa-supplement in every extension, modules whose all submodules are sa-supplement and modules whose all sasupplement submodules are direct summand. We provided new characterizations of right semiartinian rings and right SSI rings.", 
  "author": [
    {
      "family": "Durgan", 
      "given": " Yilmaz"
    }
  ], 
  "container_title": "BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY", 
  "id": "231960", 
  "issue": "1", 
  "issued": {
    "date-parts": [
      [
        2021, 
        1, 
        1
      ]
    ]
  }, 
  "page": "147-161", 
  "title": "SA-SUPPLEMENT SUBMODULES", 
  "type": "article-journal", 
  "volume": "58"
}
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