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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.17 No.1

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LIE IDEALS AND DERIVATIONS OF σ-PRIME RINGS

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2010, v.17 no.1, pp.87-92
Shuliang, Huang
Shuliang,, H. (2010). LIE IDEALS AND DERIVATIONS OF σ-PRIME RINGS, 17(1), 87-92.

Abstract

Let R be a 2-torsion free $\sigma$-prime ring with an involution $\sigma$, U a nonzero square closed $\sigma$-Lie ideal, Z(R) the center of Rand d a derivation of R. In this paper, it is proved that d = 0 or $U\;{\subseteq}\;Z(R)$ if one of the following conditions holds: (1) $d(xy)\;-\;xy\;{\in}\;Z(R)$ or $d(xy)\;-\;yx\;{\in}Z(R)$ for all x, $y\;{\in}\;U$. (2) $d(x)\;{\circ}\;d(y)\;=\;0$ or $d(x)\;{\circ}\;d(y)\;=\;x\;{\circ}\;y$ for all x, $y\;{\in}\;U$ and d commutes with $\sigma$.

keywords
<tex> $\sigma$</tex>-prime ring, derivation, <tex> $\sigma$</tex>-Lie ideal

Reference

1.

(2001). . East- West J. Math., 3, 87-91.

2.

(2002). . Result. Math., 42, 3-8.

3.

(2008). . Journal of Algebra and Discrete Structure, 6, 89-93.

4.

(2007). . Int. J. Algebra, 1, 235-239.

5.

(2008). . Advances in Algebra, 1, 19-26.

6.

(2007). . Afr. Diaspora J. Math., 5, 19-23.

7.

(2007). . Int. J. Algebra, 1, 227-230.

8.

(2007). . Int. J. Algebra, 1, 231-234.

9.

(2007). . Int. J. Algebra, 1, 25-30.

10.

Oukhtite. (2006). . Glasnik Matematicki, 41(1), 57-64. 10.3336/gm.41.1.05.

11.

(2007). . Int. J. Algebra, 1, 241-246.

12.

(2006). . Int. J. Contemp., 1, 439-448.

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics

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