Gelfand-Kirillov Dimension is Exact for Noetherian PI Algebras
Canadian mathematical bulletin, Tome 27 (1984) no. 2, pp. 247-250

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If O → A → C → B → O is a short exact sequence of finitely generated modules over a Noetherian Pi-algebra then we show that GK(C) = max{GK(A), GK(B)}.
DOI : 10.4153/CMB-1984-036-0
Mots-clés : 16A33, 16A38, 16A55
Lenagan, T. H. Gelfand-Kirillov Dimension is Exact for Noetherian PI Algebras. Canadian mathematical bulletin, Tome 27 (1984) no. 2, pp. 247-250. doi: 10.4153/CMB-1984-036-0
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[B] [B] Bergman, G. M., Gelfand-Kirillov dimension can go up in extension modules, Comm. in Alg. 9 (1981) 1567–1570. Google Scholar

[BK] [BK] Borho, W. and Kraft, H., Über die Gelfand-Kirillov dimension, Math. Ann. 220 (1976) 1–24. Google Scholar

[CH] [CH] Chatters, A. W. and Hajarnavis, C. R., Ring with chain conditions, Research Notes in Math. No. 44, Pitman. Google Scholar

[L] [L] Lenagan, T. H., Gelfand-Kirillov dimension and affine PI rings, Comm. in Alg. 10 (1982) 87–92. Google Scholar

[LS] [LS] Lorenz, M. and Small, L. W., On the Gelfand-Kirillov dimension of Noetherian PI algebras, Contemporary Math. ed. by Amitsur, S. A. et al Vol. 13, AMS 1982. Google Scholar

[S] [S] Small, L. W., Rings satisfying a polynomial identity, Univ. Essen 1980. Google Scholar

[Sm] [Sm] Smith, S. P., Krull dimension of the enveloping algebra of s1(2, ℂ), J. Alg. 71 (1981) 189–194. Google Scholar

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