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ON A LIE RING OF GENERALIZED INNER DERIVATIONS

Aydin, Neset; Turkmen, Selin


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{
  "@context": "https://schema.org/", 
  "@id": 52043, 
  "@type": "ScholarlyArticle", 
  "creator": [
    {
      "@type": "Person", 
      "affiliation": "Canakkale Onsekiz Mart Univ, Dept Math, TR-17020 Canakkale, Turkey", 
      "name": "Aydin, Neset"
    }, 
    {
      "@type": "Person", 
      "affiliation": "Canakkale Onsekiz Mart Univ, Lapseki Vocat Sch, TR-17800 Canakkale, Turkey", 
      "name": "Turkmen, Selin"
    }
  ], 
  "datePublished": "2017-01-01", 
  "description": "In this paper, we define a set including of all f(a) with a is an element of R generalized derivations of R and is denoted by f(R). It is proved that (i) the mapping g : L (R) -> f(R) given by g (a) = f(-a) for all a is an element of R is a Lie epimorphism with kernel N-sigma,N-tau; (ii) if R is a semiprime ring and sigma is an epimorphism of R, the mapping h : f(R) -> I (R) given by h(f(a)) = i(sigma)(-a) is a Lie epimorphism with kernel 1 (f(R)); (iii) if f(R) is a prime Lie ring and A, B are Lie ideals of R, then [f(A), f(B)] = (0) implies that either f(A) = (0) or f(B) = (0).", 
  "headline": "ON A LIE RING OF GENERALIZED INNER DERIVATIONS", 
  "identifier": 52043, 
  "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", 
  "license": "http://www.opendefinition.org/licenses/cc-by", 
  "name": "ON A LIE RING OF GENERALIZED INNER DERIVATIONS", 
  "url": "https://aperta.ulakbim.gov.tr/record/52043"
}
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