TY - JOUR
T1 - γ-DERIVATIONS IN RINGS
AU - Aishwarya, S.
AU - Babushri, Kedukodi
AU - Prasad, Kuncham Syam
N1 - Funding Information:
The authors acknowledge Manipal Institute of Technology, Manipal Academy of Higher Education for their encouragement. The first author acknowledges Manipal Academy of Higher Education for Dr TMA Pai PhD scholarship.
Publisher Copyright:
© Palestine Polytechnic University-PPU 2023.
PY - 2023
Y1 - 2023
N2 - We introduce the notion of γ-derivations in rings and obtain commutativity results in a prime ring R admitting multiplicative γ-derivations. We show that the symmetry of γ 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 γderivation, and (ii) a characterization of Galois field of characteristic 2 by using Jordan product and γ-derivation.
AB - We introduce the notion of γ-derivations in rings and obtain commutativity results in a prime ring R admitting multiplicative γ-derivations. We show that the symmetry of γ 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 γderivation, and (ii) a characterization of Galois field of characteristic 2 by using Jordan product and γ-derivation.
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M3 - Article
AN - SCOPUS:85153741715
SN - 2219-5688
VL - 12
SP - 432
EP - 441
JO - Palestine Journal of Mathematics
JF - Palestine Journal of Mathematics
IS - 1
ER -