The reduction number of an algebra
Wolmer V. Vasconcelos (1996)
Compositio Mathematica
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Wolmer V. Vasconcelos (1996)
Compositio Mathematica
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Franjou, Vincent, van der Kallen, Wilberd (2010)
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Eva Kristina Ekström (1990)
Compositio Mathematica
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Olga Dashkova (2011)
Open Mathematics
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Let A be an R G-module, where R is an integral domain and G is a soluble group. Suppose that C G(A) = 1 and A/C A(G) is not a noetherian R-module. Let L nnd(G) be the family of all subgroups H of G such that A/C A(H) is not a noetherian R-module. In this paper we study the structure of those G for which L nnd(G) satisfies the maximal condition.
Plesken, W., Robertz, D. (2005)
Experimental Mathematics
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Bjorn Poonen (1995)
Compositio Mathematica
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Yassemi, S. (1998)
Acta Mathematica Universitatis Comenianae. New Series
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Bogley, W.A., Harlander, J. (2004)
The New York Journal of Mathematics [electronic only]
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Luchezar L. Avramov, Ragnar-Olaf Buchweitz (1993)
Compositio Mathematica
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Drensky, Vesselin (2004)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 16R10, 16R30. The classical theorem of Weitzenböck states that the algebra of invariants K[X]^g of a single unipotent transformation g ∈ GLm(K) acting on the polynomial algebra K[X] = K[x1, . . . , xm] over a field K of characteristic 0 is finitely generated. Partially supported by Grant MM-1106/2001 of the Bulgarian National Science Fund.