Research Article

A Note on the Trace of Generalized Permuting Tri-Derivations

Volume: 45 Number: 1 March 28, 2024
Süleyman Zortaş , Hasret Yazarlı *
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A Note on the Trace of Generalized Permuting Tri-Derivations

Abstract

Many researchers have studied permuting tri-derivation and generalized derivation in prime or semi-prime rings, BCK-algebras, lattices, d-algebras, MV-algebras and many algebraic structures. Later, they introduced the concept of generalized permuting tri-derivation by combining the concepts of generalized derivation and permuting tri-derivation. In this article, we have examined the properties of generalized permuting triderivation by adding conditions on their traces in prime or semi-prime rings. In addition, we examined the properties of two permuting triderivation by giving a relation between their traces.

Keywords

Prime ring, semiprime ring, permuting triderivation, generalized permuting triderivation

References

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  6. [6] Yılmaz, D., Orthogonal semiderivations and symmetric bi-semiderivations in semiprime ring, Cumhuriyet Science Journal, 43 (1) (2022).
  7. [7] Çeven, Y., Symmetric bi-derivations of lattices, Quaestiones Mathematicae, 32(2009), 241-245.
  8. [8] Ilbıra, S., Fırat, A., Jun, Y. B., On symmetric bi-derivations of BCI-algebras, Applied Mathematical Sciences, 60 (5) (2011), 2957-2964.
  9. [9] Öztürk, M. A., Yazarli, H., Kim, K. H., Permuting tri-derivations in lattices, Quaestiones Mathematicae, 32 (2009), 415-425.
  10. [10] Yılmaz, D., Davvaz, B., Yazarlı, H., Permuting tri-derivations in MV-algebras, Malaya Journal of Matematik, 11 (02) (2022), 142-150.

Details

Primary Language

English

Subjects

Applied Mathematics (Other)

Journal Section

Research Article

Authors

Publication Date

March 28, 2024

Submission Date

July 26, 2023

Acceptance Date

November 17, 2023

Published in Issue

Year 2024 Volume: 45 Number: 1

DOI

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

IZ

https://izlik.org/JA66HG65GP

Cite

RIS / Bibtex
APA
Zortaş, S., & Yazarlı, H. (2024). A Note on the Trace of Generalized Permuting Tri-Derivations. Cumhuriyet Science Journal, 45(1), 125-129. https://doi.org/10.17776/csj.1333355
AMA
1.Zortaş S, Yazarlı H. A Note on the Trace of Generalized Permuting Tri-Derivations. CSJ. 2024;45(1):125-129. doi:10.17776/csj.1333355
Chicago
Zortaş, Süleyman, and Hasret Yazarlı. 2024. “A Note on the Trace of Generalized Permuting Tri-Derivations”. Cumhuriyet Science Journal 45 (1): 125-29. https://doi.org/10.17776/csj.1333355.
EndNote
Zortaş S, Yazarlı H (March 1, 2024) A Note on the Trace of Generalized Permuting Tri-Derivations. Cumhuriyet Science Journal 45 1 125–129.
IEEE
[1]S. Zortaş and H. Yazarlı, “A Note on the Trace of Generalized Permuting Tri-Derivations”, CSJ, vol. 45, no. 1, pp. 125–129, Mar. 2024, doi: 10.17776/csj.1333355.
ISNAD
Zortaş, Süleyman - Yazarlı, Hasret. “A Note on the Trace of Generalized Permuting Tri-Derivations”. Cumhuriyet Science Journal 45/1 (March 1, 2024): 125-129. https://doi.org/10.17776/csj.1333355.
JAMA
1.Zortaş S, Yazarlı H. A Note on the Trace of Generalized Permuting Tri-Derivations. CSJ. 2024;45:125–129.
MLA
Zortaş, Süleyman, and Hasret Yazarlı. “A Note on the Trace of Generalized Permuting Tri-Derivations”. Cumhuriyet Science Journal, vol. 45, no. 1, Mar. 2024, pp. 125-9, doi:10.17776/csj.1333355.
Vancouver
1.Süleyman Zortaş, Hasret Yazarlı. A Note on the Trace of Generalized Permuting Tri-Derivations. CSJ. 2024 Mar. 1;45(1):125-9. doi:10.17776/csj.1333355

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