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On left multipliers and the commutativity of prime rings

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Abstrakty
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Let R be an associative ring. An additive mapping H : R —> R is called a left multiplier if H(xy) = H(x)y, holds for all x, y e R. In this paper, we investigate commutativity of prime rings satisfying certain identities involving left multiplier. Some related results have also been discussed.
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763--771
Opis fizyczny
Bibliogr. 20 poz.
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Bibliografia
  • [1] M. Ashraf and N. Rehman, On commutativity of rings with derivations, Results Math. 42 (2002), 3-8.
  • [2] M. Ashraf and N. Rehman, On derivations and commutativity in prime rings, East-West J. Math. 3 (1) (2001), 87-91.
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  • [11] M. Hongan, A note on semiprime rings with derivation, Internat. J. Math. & Math. Sci. 2 (1997), 413-415.
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  • [15] M. A. Quadri, M. S. Khan and N. Rehman, Generalized derivations and commutativity of prime rings, Indian J. Pure Appl. Math. 34 (9) (2003), 1393-1396.
  • [16] N. Rehman, On commutativity of rings with generalized derivations, Math. J. Okayama Univ. 44 (2002), 43-49.
  • [17] J. Vukman, Identities with products of (α, β)-derivations on prime rings, Demonstratio Math. 39 (2006), no. 2, 291-298.
  • [18] J. Vukman, Centralizer on semiprime rings, Comment. Math. Univ. Carolinae 42 (2001), 237-245.
  • [19] J. Vukman, An identity related to centralizer in semiprime rings, Comment. Math. Univ. Carolinae 40 (1999), 447-456.
  • [20] B. Zalar, On Centralizer of semiprime rings, Comment. Math. Univ. Carolinae 32 (1991), 609-614.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA3-0050-0003
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