1 Ocak 2015 Dergi makalesi Açık Erişim

Camillo, V.; Nicholson, W. K.

Citation Style Language JSON

{
  "URL": "https://aperta.ulakbim.gov.tr/record/78537", 
  "abstract": "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.", 
  "author": [
    {
      "family": "Camillo", 
      "given": " V."
    }, 
    {
      "family": "Nicholson", 
      "given": " W. K."
    }
  ], 
  "container_title": "INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA", 
  "id": "78537", 
  "issued": {
    "date-parts": [
      [
        2015, 
        1, 
        1
      ]
    ]
  }, 
  "page": "199-214", 
  "title": "ON RINGS WHERE LEFT PRINCIPAL IDEALS ARE LEFT PRINCIPAL ANNIHILATORS", 
  "type": "article-journal", 
  "volume": "17"
}