SEMIPRIME IDEALS AND P−COMMUTING HOMODERIVATIONS ON IDEALS
Abstract
quotient ring, where S is any ring and P is the semiprime ideal of S. More specifically,
we look at differential identities in the semiprime ideal of an arbitrary ring using the
P-commuting homoderivations.
Keywords
Full Text:
PDFReferences
A. Ali, N. Rehman and S. Ali: On Lie ideals with derivations as homomorhisms and anti-homomorphisms. Acta Math. Hung. 101(1–2) (2003), 79–82.
F. A. A. Almahdi, A. Mamouni and M. Tamekkante: A generalizetion of Posner’s theorem on derivations in rings. Indian J. Pure Appl. Math. 51(1) (2020), 187–194.
H. M. Alnoghashi, S. Naji and N. U. Rehman: On multiplicative (generalized)-derivation involving semiprime ideals. Journal of Math. (2023), 8855850.
M. Ashraf, A. Ali and S. Ali: Some commutativity theorems for rings with generazlized derivations. Southeast Asian Bull.Math. 31 (2007), 415–421.
M. Ashraf and N. Rehman: On derivations and commutativity in prime rings. EastWest Journal Math. 3(1) (2001), 87–91.
M. N. Daif and H. E. Bell: Remarks on derivations on semiprime rings. Int. J. Math. Math. Sci. 15(1), (1992), 205–206.
M. M. El Sofy Aly: Rings with some kinds of mappings. M.Sc. Thesis, Cairo University, Branch of Fayoum, (2000).
M. Hongan: A note on semiprime rings with derivation. Internat. J. Math. and Math. Sci. 20(2) (1997), 413–415.
E. Koc Sogutcu: A Characterization of Semiprime Rings with Homoderivations. Journal of New Theory 42 (2023), 14–28.
E. C. Posner: Derivations in prime rings. Proc. Amer. Math. Soc. 8 (1957), 1093–1100.
M. A. Quadri, M. S. Khan and N. Rehman: Generalized derivations and commutativity of prime rings. Indian J. Pure Appl. Math. 34(9) (2003), 1393–1396.
N. Rehman, M. R. Mozumder and A. Abbasi: Homoderivations on ideals of prime and semi prime rings. The Aligarh Bull. of Mathematics 38(1–2) (2019), 77–87.
DOI: https://doi.org/10.22190/FUMI240730050B
Refbacks
- There are currently no refbacks.
ISSN 0352-9665 (Print)