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Correction to “On prime near-rings with generalized (σ,τ)derivations, Kyungpook Math. J., 45(2005), 249–254”

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주제분류수학

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In the proof of Theorem 3 on p.253 in [4], both right and left distributivity are assumed simultaneously which makes the proof invalid. We give a corrected proof for this theorem by introducing an extension of Lemma 2.2 in [2].

Abstract

In the proof of Theorem 3 on p.253 in [4], both right and left distributivity are assumed simultaneously which makes the proof invalid. We give a corrected proof for this theorem by introducing an extension of Lemma 2.2 in [2].

참고문헌 (6)

  1. K. I. Beidar, "Posner and Herstein theorems for derivations of 3-prime near-rings"
  2. H. E. Bell, "On prime near-rings with generalized derivation", In. J. Math. Math. Sci., pp.5~ (2008)
  3. H. E Bell, "On derivations in near-rings and near-fields", North-Holland Mathematics Studies, 137, pp.31~35 (1987)
  4. Oznur Goelbasi, "On Prime Near-rings with Generalized -derivations", Kyungpook Mathematical Journal, 45(2), pp.249~254 (2005), 경북대학교 자연과학대학 수학과
  5. O. Golbası, "Results on prime near-ring with (σ, τ )-derivation", Math. J. Okayama Univ, 46, pp.1~7 (2004)
  6. X. K. Wang, "Derivations in prime near-rings", Proc. Amer. Math. Soc., 121, pp.361~366 (1994)

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