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6. Bibliographie
J.A. BEACHY, Rings with finite reduced rank, Comm. Algebra, 10 (14), (1982), 1517–1536.
W. BORHO, "On the Joseph — Small additivity principle for Goldie ranks", Compositio Mathematica 47 (1), (1982), 3–29.
W. BORHO and H. KRAFT, "Uber die Gelfand-Krillov Dimension", Math. Annalen 220, (1976), 1–24.
A. HUDRY, "Sur le principe d'additivité du rang pour des bimodules, II", Proceedings Colloque d'algèbre non commutative, Luminy (1984).
A. JOSEPH et L.W. SMALL, "An additivity principle for Goldie rank", Israël J. of Math. 31 (2), (1978), 105–114.
B. LEMONNIER, Thèse, Université de Poitiers, 387, (1984).
T.H. LENAGAN, "Gelfand-Kirillov Dimension and affine P.I. rings", Comm. Algebra, 10 (1), (1982), 87–92.
M. LORENZ, S. MONTGOMERY, L.W. SMALL, "Prime ideals in fixed rings, II", Comm. in Algebra, 10 (5), (1982), 449–455.
S. MONTGOMERY, "Prime ideals in fixed rings", Comm. in Algebra, 9 (4), (1981), 423–449.
S. MONTGOMERY and L.W. SMALL, "Integrality and prime ideals in fixed rings of P.I. rings", J. of pure and applied Algebra 31, (1984), 185–190.
L.W. SMALL, "Orders in artinian rings, II", J. of Algebra, 9, (1968), 266–273.
J.T. STAFFORD, "Noetherian full quotient rings", Proc. London, Math. Soc. (3), 44 (1982), 385–404.
J.T. STAFFORD, "The Goldie rank of a module, preprint Univ. of Leeds, (1983), 1–35.
R.B. WARFIELD, "Prime ideals in rings extensions", J. London Math. Soc. 28 (1983), 453–460.
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Hudry, A. (1986). Deux applications du principe d'additivite. In: Malliavin, MP. (eds) Séminaire d'Algèbre Paul Dubreil et Marie-Paule Malliavin. Lecture Notes in Mathematics, vol 1220. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099509
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