Lie right ideals and homoderivations in 3-Prime Near-Ring
DOI:
https://doi.org/10.5269/bspm.64629Resumo
In this article, we study the structure of a near-rings N involving a homoderivations satisfying certain constraints on a nonzero Lie right ideal of near-rings
Referências
1. E. F. Al harfie and N. Muthana, On homoderivations and commutativity of prime rings, Bull. Int. Math. Virtual Inst., 9, 301-304, (2019).
2. H. E. Bell, On derivations in near-rings II, In: Near-Rings, Near-Fields and KLoops (Hamburg, 1995), Math. Appl. 426, Kluwer Acad. Publ., Dordrecht, (1997).
3. A. Boua and A. A. M. Kamal, Lie ideals and Jordan ideals in 3-prime near-rings with derivations, JP. Journal of Alg., Number of Theorie and Application, 55(2), 131-139, (2014).
4. A. Boua, Homoderivations and Jordan right ideals in 3-prime near-rings, AIP Conference Proceedings, 2074, 020010- 1-020010-8, (2019).
5. A. Boua, A. Ali and U. I. Huque, Serval algebraic identities in 3-prime near-rings, Kragujevac Journal of Mathematics, 42(2), 249-258, (2018).
6. A. Boua and H. E. Bell, Jordan Ideals and Derivations Satisfying Algebraic Identities, Bulletin of the Iranian Mathematical Society, 44, 1543-1554, (2018).
7. A. Boua, Commutativity of near-rings with certain constrains on Jordan ideals. Boletim da Sociedade Paranaense de Matemática, 36(4), 159-170, (2018).
8. A. Boua, Commutativity of Jordan ideals in 3-prime near-rings with derivations, Communications of the Korean Mathematical Society, 33(1), 37-44, (2018).
9. A. En-guady, S. Mouhssine and A. Boua, On Zero-power Valued Homoderivations in 3-prime Near-rings. Boletim da Sociedade Paranaense de Matemática, 41, 1-11, (2023).
10. El Sofy M. M., Rings with some kinds of mappings, M. Sc. Thesis, Cairo University, Branch of Fayoum, (2000).
11. S. Mouhssine and A. Boua, Right multipliers and commutativity of 3-prime near-rings, Int. J. Appl. Math., 34(1), 169-181, (2021).
12. S. Mouhssine, A. Boua and M. M. El-Soufi, On two-sided -generalized derivations of 3-prime near-rings, Comm. Alg., 50(11), 4682-4699, (2022).
13. S. Mouhssine and A. Boua, Homoderivations and semigroup ideals in 3-prime near-rings, Algebraic Structures and Their Applications, 8(2), 177-194, (2021).
2. H. E. Bell, On derivations in near-rings II, In: Near-Rings, Near-Fields and KLoops (Hamburg, 1995), Math. Appl. 426, Kluwer Acad. Publ., Dordrecht, (1997).
3. A. Boua and A. A. M. Kamal, Lie ideals and Jordan ideals in 3-prime near-rings with derivations, JP. Journal of Alg., Number of Theorie and Application, 55(2), 131-139, (2014).
4. A. Boua, Homoderivations and Jordan right ideals in 3-prime near-rings, AIP Conference Proceedings, 2074, 020010- 1-020010-8, (2019).
5. A. Boua, A. Ali and U. I. Huque, Serval algebraic identities in 3-prime near-rings, Kragujevac Journal of Mathematics, 42(2), 249-258, (2018).
6. A. Boua and H. E. Bell, Jordan Ideals and Derivations Satisfying Algebraic Identities, Bulletin of the Iranian Mathematical Society, 44, 1543-1554, (2018).
7. A. Boua, Commutativity of near-rings with certain constrains on Jordan ideals. Boletim da Sociedade Paranaense de Matemática, 36(4), 159-170, (2018).
8. A. Boua, Commutativity of Jordan ideals in 3-prime near-rings with derivations, Communications of the Korean Mathematical Society, 33(1), 37-44, (2018).
9. A. En-guady, S. Mouhssine and A. Boua, On Zero-power Valued Homoderivations in 3-prime Near-rings. Boletim da Sociedade Paranaense de Matemática, 41, 1-11, (2023).
10. El Sofy M. M., Rings with some kinds of mappings, M. Sc. Thesis, Cairo University, Branch of Fayoum, (2000).
11. S. Mouhssine and A. Boua, Right multipliers and commutativity of 3-prime near-rings, Int. J. Appl. Math., 34(1), 169-181, (2021).
12. S. Mouhssine, A. Boua and M. M. El-Soufi, On two-sided -generalized derivations of 3-prime near-rings, Comm. Alg., 50(11), 4682-4699, (2022).
13. S. Mouhssine and A. Boua, Homoderivations and semigroup ideals in 3-prime near-rings, Algebraic Structures and Their Applications, 8(2), 177-194, (2021).
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2024-05-17
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