Displaying similar documents to “On the generalized Davenport constant and the Noether number”

Modules over group rings of soluble groups with a certain condition of maximality

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.

Invariants of Unipotent Transformations Acting on Noetherian Relatively Free Algebras

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.