1 Ocak 2015 Dergi makalesi Açık Erişim

Camillo, V.; Nicholson, W. K.

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{
  "@context": "https://schema.org/", 
  "@id": 78537, 
  "@type": "ScholarlyArticle", 
  "creator": [
    {
      "@type": "Person", 
      "affiliation": "Univ Iowa, Dept Math, Iowa City, IA 52242 USA", 
      "name": "Camillo, V."
    }, 
    {
      "@type": "Person", 
      "affiliation": "Univ Calgary, Dept Math, Calgary, AB T2N 1N4, Canada", 
      "name": "Nicholson, W. K."
    }
  ], 
  "datePublished": "2015-01-01", 
  "description": "The rings in the title are studied and related to right principally injective rings. Many properties of these rings (called left pseudo-morphic by Yang) are derived, and conditions are given that an endomorphism ring is left pseudo-morphic. Some particular results: (1) Commutative pseudo-morphic rings are morphic; (2) Semiprime left pseudo-morphic rings are semisimple; and (3) A left and right pseudo-morphic ring satisfying (equivalent) mild finiteness conditions is a morphic, quasi-Frobenius ring in which every one-sided ideal is principal. Call a left ideal L a left principal annihilator if L = 1(a) = {r is an element of R vertical bar ra = 0} for some a is an element of R. It is shown that if R is left pseudo-morphic, left mininjective ring with the ACC on left principal annihilators then R is a quasi-Frobenius ring in which every right ideal is principal and every left ideal is a left principal annihilator.", 
  "headline": "ON RINGS WHERE LEFT PRINCIPAL IDEALS ARE LEFT PRINCIPAL ANNIHILATORS", 
  "identifier": 78537, 
  "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", 
  "license": "http://www.opendefinition.org/licenses/cc-by", 
  "name": "ON RINGS WHERE LEFT PRINCIPAL IDEALS ARE LEFT PRINCIPAL ANNIHILATORS", 
  "url": "https://aperta.ulakbim.gov.tr/record/78537"
}