Research Article
BibTex RIS Cite

Some results on σ-ideal of σ-prime ring

Year 2015, Volume: 44 Issue: 5, 1147 - 1156, 01.10.2015

Abstract

Let be a σ-prime ring with characteristic not 2, Z(Rbe the center of R, I be a nonzero σ-ideal of R, α,β → be two automorphisms, be a nonzero (α, β)-derivation of and be a nonzero derivation of R. In the present paper, it is shown that (iIf (I⊂ Cα,β and β commutes with σ then is commutative. (iiLet α and β commute with σ. If ∈ ∩ Sσ (Rand [d(I),a]α,β ⊂ Cα,β then ∈ Z(R)(iiiLet α,β and commute with σ. If dh(I)Cα,β and h(I)I then is commutative.

References

  • ... ..
Year 2015, Volume: 44 Issue: 5, 1147 - 1156, 01.10.2015

Abstract

References

  • ... ..
There are 1 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Mathematics
Authors

Selin Türkmen

Neşet Aydın

Publication Date October 1, 2015
Published in Issue Year 2015 Volume: 44 Issue: 5

Cite

APA Türkmen, S., & Aydın, N. (2015). Some results on σ-ideal of σ-prime ring. Hacettepe Journal of Mathematics and Statistics, 44(5), 1147-1156.
AMA Türkmen S, Aydın N. Some results on σ-ideal of σ-prime ring. Hacettepe Journal of Mathematics and Statistics. October 2015;44(5):1147-1156.
Chicago Türkmen, Selin, and Neşet Aydın. “Some Results on σ-Ideal of σ-Prime Ring”. Hacettepe Journal of Mathematics and Statistics 44, no. 5 (October 2015): 1147-56.
EndNote Türkmen S, Aydın N (October 1, 2015) Some results on σ-ideal of σ-prime ring. Hacettepe Journal of Mathematics and Statistics 44 5 1147–1156.
IEEE S. Türkmen and N. Aydın, “Some results on σ-ideal of σ-prime ring”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 5, pp. 1147–1156, 2015.
ISNAD Türkmen, Selin - Aydın, Neşet. “Some Results on σ-Ideal of σ-Prime Ring”. Hacettepe Journal of Mathematics and Statistics 44/5 (October 2015), 1147-1156.
JAMA Türkmen S, Aydın N. Some results on σ-ideal of σ-prime ring. Hacettepe Journal of Mathematics and Statistics. 2015;44:1147–1156.
MLA Türkmen, Selin and Neşet Aydın. “Some Results on σ-Ideal of σ-Prime Ring”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 5, 2015, pp. 1147-56.
Vancouver Türkmen S, Aydın N. Some results on σ-ideal of σ-prime ring. Hacettepe Journal of Mathematics and Statistics. 2015;44(5):1147-56.