Browsing by Author "Koç Sögütcü, Emine"
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Multiplicative (generalized)-reverse derivations in rings and Banach algebras
Koç Sögütcü, Emine (De Gruyter, 2023)In this work, the subject of ideal in a semiprime ring with multiplicative (generalized)- reverse derivations studied is included. We give new essential results for researchers in this field and generalize some results ... -
Note on Lie ideals with symmetric bi-derivations in semiprime rings
Koç Sögütcü, Emine; Huang, Shuliang (Springer, 2023)Let R be a semiprime ring, U a square-closed Lie ideal of R and D : R x R -> R a symmetric bi-derivation and d be the trace of D. In the present paper, we prove that the R contains a nonzero central ideal if any one of the ... -
Some Classification Theorems and Endomorphisms in New Classes
Alnoghashi, Hafedh); Alali, Amal S.; Koç Sögütcü, Emine; Rehman, Nadeem ur; Alqarni, Faez A. (MDPI, 2023)Let ℧ be a prime ring of char(℧) not equal 2 with its center Z. This article introduces new classes of endomorphisms and investigates how they relate to antiautomorphisms of prime rings and the commutativity of prime rings. ...