A Note on the Trace of Generalized Permuting Tri-Derivations

Author:

Zortaş Süleyman1ORCID,Yazarlı Hasret2ORCID

Affiliation:

1. SIVAS CUMHURIYET UNIVERSITY

2. SİVAS CUMHURİYET ÜNİVERSİTESİ

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.

Publisher

Cumhuriyet University

Reference13 articles.

1. [1] Posner, E. C., Derivations in prime rings, Proc. Amer. Math. Soc. 8 (1957) 1093-1100.

2. [2] Bresar, M., On the distance of the compositions of two derivations to generalized derivations, Glasgow Math. J. 33 (1991) 89-93.

3. [3] Maksa, Gy., A remark on symmetric bi-additive functions having non-negative diagonalization, Glasnik Mat., III. Ser. 15(2) (1980) 279-282.

4. [4] Öztürk, M. A., Permuting tri-derivations in prime and semi-prime rings, East Asian Math. J. 15 (1999) No. 2, 177-190.

5. [5] Durna, H., Symmetric bi-derivation on hyperrings, Cumhuriyet University Faculty of Science Journal, 37 (4) (2016).

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