Action of finite groups on Rees algebras and Gorensteinness in invariant subrings
1999 ◽
Vol 42
(2)
◽
pp. 393-401
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Let G be a finite group of order N and assume that G acts on a Cohen-Macaulay local ring A as automorphisms of rings. Let N be a unit in A. For a given G-stable ideal I in A we denote by R(I) = ⊕n≥0In and = G(I) = ⊕n≥0In/In+1 the Rees algebra and the associated graded ring of I, respectively. Then G naturally acts on R(I) and G(I) too. In this paper the conditions under which the invariant subrings R(I)G of R(I) are Cohen-Macaulay and/or Gorenstein rings are described in connection with the corresponding ring-theoretic properties of G(I)G and the a-invariants a(G(I)G of G(I)G. Consequences and some applications are discussed.
1994 ◽
Vol 133
◽
pp. 57-69
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1969 ◽
Vol 10
(3-4)
◽
pp. 359-362
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2021 ◽
Vol 58
(2)
◽
pp. 147-156
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1997 ◽
Vol 40
(2)
◽
pp. 243-246
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2008 ◽
Vol 07
(06)
◽
pp. 735-748
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1986 ◽
Vol 40
(2)
◽
pp. 253-260
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