This is a preview of subscription content, log in via an institution to check access.
References
N.Bourbaki, Éléments de Mathématique, Algebres de Lie; Chapitre I. Paris 1971.
B. Brown andN. H. McCoy, Prime ideals in non-associative rings. Trans. Amer. Math. Soc.89, 245–255 (1958).
C. R. Jordan andD. A. Jordan, Lie rings of derivations of associative rings. J. London Math. Soc.17, 33–41 (1978).
C. R. Jordan andD. A. Jordan, The Lie structure of a commutative ring with a derivation. J. London Math. Soc.18, 39–49 (1978).
D. A. Jordan, Noetherian Ore extensions and Jacobson rings. J. London Math. Soc.10, 281–291 (1975).
D. A. Jordan, Simple Lie rings of derivations of commutative rings. J. London Math. Soc.18, 443–448 (1978).
N. Kawamoto, On prime ideals of Lie algebras. Hiroshima Math. J.4, 679–684 (1974).
W. F.Keigher, Prime differential ideals in differential rings. Contributions to Algebra: A Collection of Papers Dedicated to Ellis Kolchin, 239–249, New York 1977.
W. F. Keigher, Quasi-prime ideals in differential rings. Houston J. Math.4, 379–388 (1978).
W. F. Keigher, On the quasi-affine scheme of a differential ring. Adv. Math.42, 143–153 (1981).
A. Nowicki, Some remarks ond-MP rings. Bull. Acad. Pol. Sci., Ser. Sci. Math.30, 311–317 (1982).
A. Nowicki, Quasi-prime andd-prime ideals in commutative differential rings. Colloq. Math.47, 179–184 (1982).
A.Nowicki, Derivations satisfying polynomial identities. To appear in Colloq. Math.
P. Ribenboim, Higher derivations of rings II. Rev. Roum. Math. Pures Appl.16, 245–272 (1971).
P. V. Sokolov, Special differencial rings (Russian). Sib. Math. Zh.22, 225–227 (1981).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Nowicki, A. The Lie structure of a commutative ring with a derivation. Arch. Math 45, 328–335 (1985). https://doi.org/10.1007/BF01198235
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01198235