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Year 2022, , 105 - 112, 30.03.2022

Damla Yılmaz

https://doi.org/10.17776/csj.811057
Cited By: 1

Abstract

References

  • [1] Posner E. C., Derivations in prime rings, Proc. Amer. Math. Soc., 8 (1957) 1093-1100.
  • [2] Maksa Gy., A remark on symmetric biadditive functions having nonnegative diagonalization, Glasnik. Mat., 15(35) (1980) 279-282.
  • [3] Vukman J., Symmetric biderivations on prime and semiprime rings, Aequa. Math. 38 (1989) 245-254.
  • [4] Vukman J., Two results concerning symmetric biderivations on prime rings, Aequa. Math., 40 (1990) 181-189.
  • [5] Bergen J., Derivations in prime rings, Canadian Math. Bull., 26(3) (1983) 267-270.
  • [6] Chang J. C., On semiderivations of prime rings, Chinese Journal Mathematics, 12(4) (1984) 255-262.
  • [7] Bresar M., Vukman J., Orthogonal derivation and extension of a theorem of Posner, Rad. Mat. 5(2) (1989) 237-246.
  • [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] Yılmaz D., Yazarlı H., (to appear), On symmetric bi-semiderivations of prime rings.

Orthogonal Semiderivations and Symmetric Bi-semiderivations in Semiprime Rings

Year 2022, , 105 - 112, 30.03.2022

Damla Yılmaz

https://doi.org/10.17776/csj.811057
Cited By: 1

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

  • [1] Posner E. C., Derivations in prime rings, Proc. Amer. Math. Soc., 8 (1957) 1093-1100.
  • [2] Maksa Gy., A remark on symmetric biadditive functions having nonnegative diagonalization, Glasnik. Mat., 15(35) (1980) 279-282.
  • [3] Vukman J., Symmetric biderivations on prime and semiprime rings, Aequa. Math. 38 (1989) 245-254.
  • [4] Vukman J., Two results concerning symmetric biderivations on prime rings, Aequa. Math., 40 (1990) 181-189.
  • [5] Bergen J., Derivations in prime rings, Canadian Math. Bull., 26(3) (1983) 267-270.
  • [6] Chang J. C., On semiderivations of prime rings, Chinese Journal Mathematics, 12(4) (1984) 255-262.
  • [7] Bresar M., Vukman J., Orthogonal derivation and extension of a theorem of Posner, Rad. Mat. 5(2) (1989) 237-246.
  • [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] Yılmaz D., Yazarlı H., (to appear), On symmetric bi-semiderivations of prime rings.
There are 9 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Natural Sciences
Authors

Damla Yılmaz 0000-0002-6741-8669

Publication Date March 30, 2022
Submission Date October 15, 2020
Acceptance Date March 5, 2022
Published in Issue Year 2022

Cite

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

Cited By

A Note on the Trace of Generalized Permuting Tri-Derivations
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