Some specific differential identities in 3-prime near-rings
DOI:
https://doi.org/10.5269/bspm.62763Abstract
In this paper, we study 3-prime near-rings with left generalized semiderivations that satisfy specific dierential identities. Consequently, some well-known results from the literature have been generalized. We also show how the constraints placed on the hypothesis of various results are really not redundant.
References
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2. Ashraf M. and Siddeeque M. A, Generalized derivation on semigroup ideals and commutativity of prime near-rings, Rend. Sem. Mat. Univ. Pol. Torino Vol. 73/2, 3-4, 217 - 225 (2015).
3. Bell H.E., On derivations in near-rings II, In: Near-Rings, Near-Fields and KLoops (Hamburg, 1995), Math. Appl. 426, Kluwer Acad. Publ., Dordrecht, 1997.
4. Boua, A. and Oukhtite, L., Semiderivations satisfying certain algebraic identities on prime near-rings, Asian-Eur. J. Math., 6(3), 1350050, 8p (2013).
5. Boua, A., Oukhtite, L. and Raji, A., Semigruop ideals with semiderivations in 3-prime near-rings, Palest. J. Math., 3, 438-444 (2014).
6. Boua A., Raji A., Asma A. and Farhat A., On generalized semiderivations of prime near rings, Int. J. Math. Math. Sci., Article ID 867923, 7p (2015).
7. Boua A., Oukhtite L. and Raji L., On generalized semiderivations in 3-prime near-rings, Asian Eur. J. Math. Vol. 09, No. 02, 1650036 (2016).
8. Golbasi O. and KocE., On semigroup ideals of prime near-rings with generalized semiderivation, Palest. J. Math., Vol. 7(1), 243-250 (2018).
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Published
2024-04-19
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