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Some results on sigma-ideal of sigma-prime ring

Turkmen, Selin; Aydin, Neset


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{
  "URL": "https://aperta.ulakbim.gov.tr/record/78135", 
  "abstract": "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.", 
  "author": [
    {
      "family": "Turkmen", 
      "given": " Selin"
    }, 
    {
      "family": "Aydin", 
      "given": " Neset"
    }
  ], 
  "container_title": "HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS", 
  "id": "78135", 
  "issue": "5", 
  "issued": {
    "date-parts": [
      [
        2015, 
        1, 
        1
      ]
    ]
  }, 
  "page": "1147-1156", 
  "title": "Some results on sigma-ideal of sigma-prime ring", 
  "type": "article-journal", 
  "volume": "44"
}
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