References
[AD] Alajbegovi'c, J.H., Dubrovin, N.I.: Noncommutative Prüfer rings. J. Algebra135, 165–176 (1990)
[B] Brungs, H.H.: Rings with a distributive lattice of right ideals. J. Algebra40, 392–400 (1976)
[BG] Brungs, H.H.: Gräter, J.: Valuation rings in finite-dimensional division algebras. J. Algebra120, 90–99 (1989)
[D1] Dubrovin, N.I.: Noncommutative valuation rings. Trudy Moskov. Mat. Obshch.45, 265–289 (1982). English transl.: Trans. Moscow Math. Soc.45, 273–287 (1984)
[D2] Dubrovin, N.I.: Noncommutative valuation rings in simple finite-dimensional algebras over a field. Mat. Sb.123 (165), 496–509 (1984). English transl.: Trans. Math. USSR Sbornik51, 493–505 (1985)
[E] Endler, O.: Valuation Theory. Berlin Heidelberg New York: 1972
[G] Gräter, J.: Lokalinvariante Bewertungen. Math. Z.192, 183–194 (1986)
[J] Jacobson, N.: PI-algebras. An Introduction. (Lect. Notes Math., vol. 441) Berlin Heidelberg New York: Springer 1975
[K] Kaplansky, I.: Commutαtive Rings. Chicago: The University of Chicago Press 1970
[Ma] Mathiak, K.: Valuations of Skew Fields and Projective Hjelmslev Spaces. (Lect. Notes Math., vol. 1175) Berlin Heidelberg New York: Springer 1980
[MR] McConnell, J.C., Robson, J.C.: Noncommutative Noetherian Rings. New York: John Wiley 1987
[M1] Morandi, P.: Valuation Rings in Division Rings and Central Simple Algebras. Doctoral Dissertation, University of California, San Diego 1988
[M2] Morandi, P.: Value functions on central simple algebras. Trans. Am. Math. Soc.315, 605–622 (1989)
[R] Ribenboim, P.: Theóries des Valuations, Montréal: Presses Univ. Montréal 1968
[W] Wadsworth, A.: Dubrovin valuation rings and Henselization. Math. Ann.283, 301–328 (1989)
Author information
Authors and Affiliations
Additional information
Supported in part by the National Science Foundation
Rights and permissions
About this article
Cite this article
Morandi, P.J. An approximation theorem for Dubrovin valuation rings. Math Z 207, 71–81 (1991). https://doi.org/10.1007/BF02571375
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF02571375