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Book Review
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Book Information
Author(s):
Constantin Nastasescu and Freddy van Oystaeyen
Title:
Dimensions of ring theory
Additional book information:
D. Reidel Publishing Company, Dordrecht, Boston, Lancaster and Tokyo, 1987, xi + 360 pp., $74.00. ISBN 90-277-2461-x
References:
- 1.
- I. M. Gelfand and A. A, Kirillov, On fields connected with the enveloping algebras of Lie algebras (Russian), Dokl. Akad. Nauk SSSR 167 (1966), 503-505; [Translation: Soviet Math. Dokl. 7 (1966), 407-409]. MR 195912
- 2.
- I. M. Gelfand and A. A, Kirillov, Sur les corps liés aux algèbres enveloppantes des algèbres de Lie, Publ. Math. I.H.E.S. 31 (1966), 5-19. MR 207918
- 3.
- A. W. Goldie, The structure of prime rings under ascending chain conditions, Proc. London Math. Soc. (3) 8 (1958), 589-608. MR 103206
- 4.
- A. Joseph, Goldie rank in the enveloping algebra of a semisimple Lie algebra. I, J. Algebra 65 (1980), 269-283. MR 585721
- 5.
- G. Krause, On the Krull-dimension of left noetherian left Matlis-rings, Math. Z. 118 (1970), 207-214. MR 279124
- 6.
- G. R. Krause and T. H. Lenagan, Growth of algebras and Gelfand-Kirillov dimension, Research Notes in Math., no. 116, Boston-London-Melbourne, Pitman Press, 1985. MR 1721834
- 7.
- W. Krull, Primidealketten in allgemeinen Ringbereichen, Sitzungsberichte Heidelberg. Akad. Wissenschaft (1928) 7. Abhandl., 3-14.
- 8.
- C. Lanski, Gabriel dimension and rings with involution, Houston J. Math. 4 (1978), 397-415. MR 514253
- 9.
- J. C. McConnell and J. C. Robson, Noncommutative Noetherian rings, Wiley-Interscience, Chichester-New York-Brisbane-Toronto-Singapore, 1987. MR 934572
- 10.
- E. Noether, Eliminationstheorie und allgemeine Idealtheorie, Math. Ann. 90 (1923), 229-261. MR 1512173
- 11.
- D. S. Passman, The algebraic structure of group rings, Wiley-Interscience, New York-London-Sydney, 1977. MR 470211
- 12.
- R. Rentschler and P. Gabriel, Sur la dimension des anneaux et ensembles ordonnés, C. R. Acad. Sci. Paris Sér. A 265 (1967), 712-715. MR 224644
- 13.
- J. T. Stafford, Generating modules efficiently : algebraic K-theoryfor noncommutative Noetherian rings, J. Algebra 69 (1981), 312-346. MR 617082
- 14.
- P. Tauvel, Sur les quotients premiers de l'algèbre enveloppante d'une algèbre de Lie résoluble, Bull. Soc. Math. France 106 (1978), 177-205. MR 507749
Additional Information:
Reviewer(s):
K. R.
Goodearl
Review Information:
Journal:
Bull. Amer. Math. Soc.
20
(1989),
107-112.
DOI:
10.1090/S0273-0979-1989-15718-2
PII:
S 0273-0979(1989)15718-2
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