This is a preview of subscription content, log in via an institution to check access.
Literature cited
V. K. Kharchenko, "Constants of derivations of prime rings," Izv. Akad. Nauk SSSR, Ser. Mat.,45, No. 2, 435–447 (1981).
V. K. Kharchenko, "Differential identities of prime rings," Algebra Logika,17, No. 2, 220–238 (1978).
V. K. Kharchenko, "Galois theory of semiprime rings," Algebra Logika,16, No. 3, 313–364 (1977).
V. K. Kharchenko, "Actions of groups and Lie algebras on noncommutative rings," Usp. Mat. Nauk,35, No. 2, 67–90 (1980).
V. K. Kharchenko, "Differential identities of semiprime rings," Algebra Logika,18, No. 1, 86–119 (1979).
J. Lambek, Rings and Modules, Blaisdell, Waltham, Massachusetts (1966).
K. I. Beidar, "Rings with generalized identities. III," Vestn. Mosk. Gos. Univ., No. 4, 66–74 (1978).
I. N. Herstein, "A note on derivations," Can. Math. Bull.,21, No. 3, 369–370 (1978).
I. N. Herstein, "Centerlike elements in prime rings," J. Algebra,60, No. 2, 567–574 (1979).
I. N. Herstein, Topics in Ring Theory, University of Chicago Press, Chicago (1969).
W. S. Martindale, "Prime rings satisfying a generalized polynomial identity," J. Algebra,12, No. 4, 576–584 (1969).
A. Kovacs, "On derivations in prime rings and a question of Herstein," Can. Math. Bull.,22, No. 3, 339–345 (1979).
Additional information
Translated from Algebra i Logika, Vol. 22, No. 1, pp. 79–92, January–February, 1983.
Rights and permissions
About this article
Cite this article
Popov, A.Z. Derivations of prime rings. Algebra and Logic 22, 58–66 (1983). https://doi.org/10.1007/BF01979650
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01979650