1. Ƴ-DERIVATIONS IN RINGS.
- Author
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S., Aishwarya, Srinivas, Kedukodi Babushri, and Prasad, Kuncham Syam
- Subjects
FINITE fields ,JORDAN algebras ,COMMUTATIVE rings - Abstract
We introduce the notion of -derivations in rings and obtain commutativity results in a prime ring R admitting multiplicative -derivations. We show that the symmetry of Ƴ with various conditions on Lie products and Jordan products gives rise to commutativity of R. We obtain (i) a characterization of Galois field of any characteristic by using Lie product and - derivation, and (ii) a characterization of Galois field of characteristic 2 by using Jordan product and Ƴ-derivation. [ABSTRACT FROM AUTHOR]
- Published
- 2023