1 Ocak 2015 Dergi makalesi Açık Erişim

Buyukasik, Engin; Durgun, Yilmaz

JSON-LD (schema.org)

{
  "@context": "https://schema.org/", 
  "@id": 80679, 
  "@type": "ScholarlyArticle", 
  "creator": [
    {
      "@type": "Person", 
      "affiliation": "Izmir Inst Technol, Dept Math, TR-35430 Izmir, Turkey", 
      "name": "Buyukasik, Engin"
    }, 
    {
      "@type": "Person", 
      "affiliation": "Izmir Inst Technol, Dept Math, TR-35430 Izmir, Turkey", 
      "name": "Durgun, Yilmaz"
    }
  ], 
  "datePublished": "2015-01-01", 
  "description": "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.", 
  "headline": "ABSOLUTELY s-PURE MODULES AND NEAT-FLAT MODULES", 
  "identifier": 80679, 
  "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", 
  "license": "http://www.opendefinition.org/licenses/cc-by", 
  "name": "ABSOLUTELY s-PURE MODULES AND NEAT-FLAT MODULES", 
  "url": "https://aperta.ulakbim.gov.tr/record/80679"
}