Research Article

Orthogonal Semiderivations and Symmetric Bi-semiderivations in Semiprime Rings

Volume: 43 Number: 1 March 30, 2022
EN

Orthogonal Semiderivations and Symmetric Bi-semiderivations in Semiprime Rings

Abstract

In this paper, orthogonality for symmetric bi-semiderivations is defined and some results are obtained when two symmetric bi-semiderivations are orthogonal. Also, this paper gives the notion of orthogonality between semiderivations and symmetric bi-semiderivations of a 2-torsion free semiprime ring and offers some results of orthogonality.In this paper, orthogonality for symmetric bi-semiderivations is defined and some results are obtained when two symmetric bi-semiderivations are orthogonal. Also, this paper gives the notion of orthogonality between semiderivations and symmetric bi-semiderivations of a 2-torsion free semiprime ring and offers some results of orthogonality.

Keywords

Semiderivation, Bi-semiderivation, Semiprime ring, Orthogonal derivation.

References

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  8. [8] Reddy C. J. S., Reddy B. R., Orthogonal symmetric bi-derivations in semiprime rings, International Journal of Mathematics and Statistics Studies, 4(1) (2016) 22-29.
  9. [9] Yılmaz D., Yazarlı H., (to appear), On symmetric bi-semiderivations of prime rings.
APA
Yılmaz, D. (2022). Orthogonal Semiderivations and Symmetric Bi-semiderivations in Semiprime Rings. Cumhuriyet Science Journal, 43(1), 105-112. https://doi.org/10.17776/csj.811057
AMA
1.Yılmaz D. Orthogonal Semiderivations and Symmetric Bi-semiderivations in Semiprime Rings. CSJ. 2022;43(1):105-112. doi:10.17776/csj.811057
Chicago
Yılmaz, Damla. 2022. “Orthogonal Semiderivations and Symmetric Bi-Semiderivations in Semiprime Rings”. Cumhuriyet Science Journal 43 (1): 105-12. https://doi.org/10.17776/csj.811057.
EndNote
Yılmaz D (March 1, 2022) Orthogonal Semiderivations and Symmetric Bi-semiderivations in Semiprime Rings. Cumhuriyet Science Journal 43 1 105–112.
IEEE
[1]D. Yılmaz, “Orthogonal Semiderivations and Symmetric Bi-semiderivations in Semiprime Rings”, CSJ, vol. 43, no. 1, pp. 105–112, Mar. 2022, doi: 10.17776/csj.811057.
ISNAD
Yılmaz, Damla. “Orthogonal Semiderivations and Symmetric Bi-Semiderivations in Semiprime Rings”. Cumhuriyet Science Journal 43/1 (March 1, 2022): 105-112. https://doi.org/10.17776/csj.811057.
JAMA
1.Yılmaz D. Orthogonal Semiderivations and Symmetric Bi-semiderivations in Semiprime Rings. CSJ. 2022;43:105–112.
MLA
Yılmaz, Damla. “Orthogonal Semiderivations and Symmetric Bi-Semiderivations in Semiprime Rings”. Cumhuriyet Science Journal, vol. 43, no. 1, Mar. 2022, pp. 105-12, doi:10.17776/csj.811057.
Vancouver
1.Damla Yılmaz. Orthogonal Semiderivations and Symmetric Bi-semiderivations in Semiprime Rings. CSJ. 2022 Mar. 1;43(1):105-12. doi:10.17776/csj.811057