Geodesic
Semiprime Rings with Nilpotent Derivatives
Canadian mathematical bulletin, Tome 24 (1981) no. 4, pp. 415-421

Voir la notice de l'article provenant de la source Cambridge University Press

There has been a great deal of work recently concerning the relationship between the commutativity of a ring JR and the existence of certain specified derivations of R. Bell, Herstein, Procesei, Schacher, Ligh, Martindale, Putcha, Wilson, and Yaqub [1, 2, 6, 8, 9, 10, 11, 12, 14] have studied conditions on commutators which imply the commutativity of rings. 
Chung, L. O.; Luh, Jiang. Semiprime Rings with Nilpotent Derivatives. Canadian mathematical bulletin, Tome 24 (1981) no. 4, pp. 415-421. doi: 10.4153/CMB-1981-064-9
@article{10_4153_CMB_1981_064_9,
     author = {Chung, L. O. and Luh, Jiang},
     title = {Semiprime {Rings} with {Nilpotent} {Derivatives}},
     journal = {Canadian mathematical bulletin},
     pages = {415--421},
     year = {1981},
     volume = {24},
     number = {4},
     doi = {10.4153/CMB-1981-064-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1981-064-9/}
}
TY  - JOUR
AU  - Chung, L. O.
AU  - Luh, Jiang
TI  - Semiprime Rings with Nilpotent Derivatives
JO  - Canadian mathematical bulletin
PY  - 1981
SP  - 415
EP  - 421
VL  - 24
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1981-064-9/
DO  - 10.4153/CMB-1981-064-9
ID  - 10_4153_CMB_1981_064_9
ER  - 
%0 Journal Article
%A Chung, L. O.
%A Luh, Jiang
%T Semiprime Rings with Nilpotent Derivatives
%J Canadian mathematical bulletin
%D 1981
%P 415-421
%V 24
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1981-064-9/
%R 10.4153/CMB-1981-064-9
%F 10_4153_CMB_1981_064_9

[1] 1. Bell, H., Duo rings, some applications to commutativity theorem, Canad. Math. Bull. 11 (1968), 375-380. Google Scholar

[2] 2. Bell, H., Some commutativity results for periodic rings, Acta Math. Sci. Hungarica. 28 (1976), 279-283. Google Scholar

[3] 3. Chung, L. O. and Luh, Jiang, Derivations of higher order and commutativity of rings (to appear). Google Scholar

[4] 4. Chung, L. O., Luh, Jiang and Richoux, A. N., Derivations and commutativity of rings, Pac. J. Mat. 80 (1979), 77-89. Google Scholar

[5] 5. Chung, L. O., Derivations and commutativity of rings II, Pac. J. Math. 85 (1979), 19-34 Google Scholar

[6] 6. Herstein, I. N., A condition for the commutativity of rings, Canad. J. Math. 9 (1957), 583-586. Google Scholar

[7] 7. Herstein, I. N., A note on derivations, Canad. Math. Bull. 21 (1978), 369-370. Google Scholar

[8] 8. Herstein, I. N., Center-like in prime rings, Notices of ams 26 No. 3 (1979) p. A-329. Google Scholar

[9] 9. Herstein, I. N., Procesi, C. and Schacher, M., Algebraic valued functions on non-commutative rings, J. of Algebr. 36 (1975), 128-150. Google Scholar

[10] 10. Ikeda, M. and Koc, C., On the commutator ideal of certain rings, Arch. Math. 25 (1974), 348-353. Google Scholar

[11] 11. Ligh, S., The structure of certain classes of rings and near rings, J. London Math. Soc. (2) 12 (1975), 27-31. Google Scholar

[12] 12. Martindale, W. S. III, The commutativity of a special class of rings, Canad. J. Math. 12 (1960), 263-268. Google Scholar

[13] 13. Posner, E. C., Derivations in prime rings, Proc. AM. 8 (1960), 1093-1100. Google Scholar

[14] 14. Putcha, M. S., Wilson, R. S. and Yaqub, A., Structure of rings satisfying certain identities on commutators, Proc. AM. 32 (1972), 57-62. Google Scholar

Cité par Sources :