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Some results on sigma-ideal of sigma-prime ring

Turkmen, Selin; Aydin, Neset


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{
  "@context": "https://schema.org/", 
  "@id": 78135, 
  "@type": "ScholarlyArticle", 
  "creator": [
    {
      "@type": "Person", 
      "affiliation": "Canakkale Onsekiz Mart Univ, Dept Math, Canakkale, Turkey", 
      "name": "Turkmen, Selin"
    }, 
    {
      "@type": "Person", 
      "affiliation": "Canakkale Onsekiz Mart Univ, Dept Math, Canakkale, Turkey", 
      "name": "Aydin, Neset"
    }
  ], 
  "datePublished": "2015-01-01", 
  "description": "Let R be a sigma-prime ring with characteristic not 2, Z (R) be the center of R, I be a nonzero sigma-ideal of R, alpha, beta : R -> R be two automorphisms, d be a nonzero (alpha, beta)-derivation of R and h be a nonzero derivation of R : In the present paper, it is shown that (i) If d (I) subset of C-alpha,C-beta and beta commutes with sigma then R is commutative. (ii) Let alpha and beta commute with sigma. If a is an element of I boolean AND S-sigma (R) and [d(I), a](alpha,beta) subset of C-alpha,C-beta then a is an element of Z(R). (iii) Let alpha, beta and h commute with sigma. If dh (I) subset of C-alpha,C- beta and h(I) subset of I then R is commutative.", 
  "headline": "Some results on sigma-ideal of sigma-prime ring", 
  "identifier": 78135, 
  "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", 
  "license": "http://www.opendefinition.org/licenses/cc-by", 
  "name": "Some results on sigma-ideal of sigma-prime ring", 
  "url": "https://aperta.ulakbim.gov.tr/record/78135"
}
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