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Some Classification Theorems and Endomorphisms in New Classes
(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. ...
Multiplicative (generalized)-reverse derivations in rings and Banach algebras
(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
(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 ...