Research Article

Orthogonal Semiderivations and Symmetric Bi-semiderivations in Semiprime Rings

Volume: 43 Number: 1 March 30, 2022
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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

References

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

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Publication Date

March 30, 2022

Submission Date

October 15, 2020

Acceptance Date

March 5, 2022

Published in Issue

Year 2022 Volume: 43 Number: 1

DOI

https://doi.org/10.17776/csj.811057

IZ

https://izlik.org/JA22UB32NH

Cite

RIS / Bibtex
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

Cumhuriyet Science Journal

https://doi.org/10.17776/csj.1333355

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