Generalized (α, ∗)-derivations on Rings and C*-algebras
DOI:
https://doi.org/10.29020/nybg.ejpam.v19i1.6595Keywords:
Generalized (α, ∗)-derivations, Prime (Semiprime) ∗−ring, α-centralizer, additive mappings.Abstract
In the presence of an automorphism denoted as α of a ring specifically referred to as R, and with ∗ symbolizing involution on R, this study endeavors to establish the conceptual framework for (α, ∗)-derivations on R. By leveraging the functions of α and ∗, we extract certain commutativity theorems applicable to prime rings. Furthermore, the demonstrations of these theorems, particularly in the context of non-commutative prime rings, alongside the conditions in which a generalized (α, ∗)-derivation functions as a α-centralizer, will be scrutinized. Pertinent examples are presented to elucidate the proposed concepts.
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Copyright (c) 2026 Asma Ali, Faiza Shujat, Tooba Naz, Shakiv Ali, Abu Zaid Ansari
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