1 Ocak 2015 Dergi makalesi Açık Erişim

Buyukasik, Engin; Durgun, Yilmaz

Citation Style Language JSON

{
  "DOI": "10.1080/00927872.2013.842246", 
  "abstract": "Let R be a ring with an identity element. We prove that R is right Kasch if and only if injective hull of every simple right R-modules is neat-flat if and only if every absolutely pure right R-module is neat-flat. A commutative ring R is hereditary and noetherian if and only if every absolutely s-pure R-module is injective and R is nonsingular. If every simple right R-module is finitely presented, then (1) R-R is absolutely s-pure if and only if R is right Kasch and (2) R is a right Sigma-CS ring if and only if every pure injective neat-flat right R-module is projective if and only if every absolutely s-pure left R-module is injective and R is right perfect. We also study enveloping and covering properties of absolutely s-pure and neat-flat modules. The rings over which every simple module has an injective cover are characterized.", 
  "author": [
    {
      "family": "Buyukasik", 
      "given": " Engin"
    }, 
    {
      "family": "Durgun", 
      "given": " Yilmaz"
    }
  ], 
  "container_title": "COMMUNICATIONS IN ALGEBRA", 
  "id": "80679", 
  "issue": "2", 
  "issued": {
    "date-parts": [
      [
        2015, 
        1, 
        1
      ]
    ]
  }, 
  "page": "384-399", 
  "title": "ABSOLUTELY s-PURE MODULES AND NEAT-FLAT MODULES", 
  "type": "article-journal", 
  "volume": "43"
}